A math equation problem, hurry up and add 100 points!

Since the 4th power of (a+b) = 1, we know that the fourth power of a + the fourth power of b + the third power of 4b*a + the cubic of 4a*b + the square of 6a * the square of b = 1 because the square of (a+b) = 1, so the square of a + the square of b = 1-2ab

The above equation can be reduced to ab{4 (a square + b squared) -6ab} = -1 to ab = x, and the square of a a + the square of b = 1-2ab is substituted into the above formula to get -2x square + 4x + 1 = 0

Use the root formula x1=1 + root number 6 divided by 2 or x2=1 - root number 6 divided by 2 and finally synthesize a+b=1 and those two.

In this case use the values of a and b of the root formula.

Break down the first formula.

Apply the perfect square formula to get the square of (a squared + b squared) - 2 * (ab) squared = 2

Apply a perfectly squared formula; (a+b) squared - 2ab) squared * (ab) squared = 2

Then there is: the square of (1-2ab) - 2 * the square of (ab) = 2 apply the perfect square formula: the square of (ab-1) = 1 2 then ab = 1 plus or minus the root number 2 2

Dizzy. Upstairs, I actually saw one as two.

In fact, there is also a solution to this problem: a+b=1 can be used.

Trigonometric flower solution (sinx) squared + (cosx) squared = 1 This estimation is simpler.

Since a+b=1, then (a+b)(a+b)=1, that is, aa+bb+2ab=1, then aa+bb=1-2ab, and aaaa+bbbb=2, that is, (aa+bb)(aa+bb)-2aabb=2, substituting the previous equation is: (1-2ab)(1-2ab)-2aabb=2, simplifying it: 2aabb-4ab-1=0, using a quadratic equation, to obtain ab=1 + half of the root number 6, or =1 - the root of the second half number 6; Then use the binary equation system of the values of ab and a+b to solve it.

Since mathematical symbols are not easy to type, here is an explanation: aaaa means a to the fourth power, and others are similar.

a+b)^4=a^4+b^4+4a^3+4ab^3+6a^2b^2=1

Use the existing conditions in it

In view of the urgency, this can help you get some process points

Sorry I couldn't help you.

Good luck

a4+b4=2 (a2+b2)2-2a2b2=2 ((a+b)2-2ab)2-2a2b2=2

Substituting a+b=1, (1-2ab)2-2a2b2=2, the solution is ab=(4 2 6) 4, and then combined with a+b=1, it will be.

Solution: Because a+b=1

So (a+b) 2=1

i.e. a2+b 2+2ab=1

i.e. a2+b2=1-2ab

a^2+b^2)^2=(1-2ab)^2

i.e. a 4 + b 4 + 2a 2b 2 = 1-4ab + 4a 2b 2 i.e. 2a 2b 2-4ab-1 = 0

The solution yields ab=(-1- 6) 2, or a=(-1+ 6) 2 when ab=(-1- 6) 2.

a^2-a+(1+√6)/2=0

No solution. When a=(-1+ 6)2.

a^2-a+(1-√6)/2=0

The solution is a=

Is this an indefinite equation? If so, there are many answers.

For example, question 1 a=1 a=-1 b=1 b=-1 and so on.

2. Question: a=1, b=0 or a=0, b=1, etc.

Solution: Let the purchase price of this kind of *** be x

By the title (1 + note: * is a multiplier sign).

Solution x=1200

Set the purchase price of x yuan, which is derived from the title:

x*（1+35%）*90%-50-x=208

Solution x=1200

Untie; There are x people in 1 class. then there are (85-x) people in the second class.

10x+15(85-x)=1075

x=40, then there are 85-40=45 (people) in the second shift

Answer; There are 40 people in the first class and 45 people in the second class.

If there are x students in class (1), then there are (85-x) students in class (2), the column equation: 10x + 15(85-x) = 1075

It is concluded that x=40 (name) then there are 40 students in class (1) and 45 students in class (2).

Solution: If there are x people in class (1), then there are (85-x) people in class 2 10x+15(85-x)=1075

x=40 85-40=45

Answer: (1) There are 40 students in class and 45 people in class 2.

Solution: If class (1) has x students, then class (2) has students (85 x).

10x＋15（85－x）＝1075

10x＋1275－15x＝1075

5x＝200

x＝40………1) The number of people in the class is 85 40 45 (people) ......2) The number of people in the class.

1: Width = 54 2-16 = 11 meters.

2: Pear tree = 980 4 = 245 trees.

3: Washing machine = (3680-270) 2 = 1705 yuan 4: shrimp crackers = (65-5) 3 + 20 bags.

Okay, can you ask what grade you are?

Hope you can adopt.

A: The width is 11 meters.

Answer: 245 pear trees were planted.

3.(3680-270) 2=1705 yuan Answer: It costs 1705 yuan to buy a washing machine.

4.(65-5) 3=20 bags Answer: There are 20 bags of shrimp crackers.

1. x thousand clever meters per hour. 45*3+3x=285 x=502, x people in each group. 5 x = 200-80 x = 243, slip wide clear flour x kg.

3x-30=150 x=604, x trees per row. 6x=52+20 x=12

5. X yuan per set. 30x-24x=510x=856, chair x, table 3x. 3x+x=68 x=17 3x=517, an average of x pieces per day.

3x=540-8*45 x=608, the speed of the train is x kilometers per hour before the letter. 8x-60=500 x=709, each basketball x yuan. 15* x=85

10. Now there are x words per page. 576*25=18x x=224

aomaigad so simple you wouldn't? Is 10 points high for brothers? It's not easy for us either! a

Solution: Let the smaller number be x, then the larger number is x+1

x+x+1=145

2x=145-1

2x=144

x=72x+1=72+1=73

The smaller natural number is 72 and the larger natural number is 73

Solution: Let the smaller number be x and the larger number be x+1

then x+x+1=145

x = 72 and the other number is 73

Let the previous natural number be n, then there is n+(n+1)=145, and we can get n=74, which are 74 and 75.

Solution:1If the walking speed is x km/h, the cycling speed is 2xkmh.

According to the question, the equation is 2x+2*2x=24

Solve this equation to get x=4

Therefore, the walking speed is 4 kilometers per hour, and the cycling speed is 8 kilometers per hour.

2.Suppose it takes X hours for B to catch up with A, then A has walked 4x kilometers and B has walked 8x kilometers.

According to the question, the equation is 4x+24=8x

Solving this equation gives x=6,4x=24,8x=48, so it takes B 6 hours to catch up with A, at which point A has walked 24 kilometers and B has traveled 48 kilometers.

Let A's walking speed be v, and B's cycling speed is 2v (you can set v to x, but the speed is usually expressed by v, if it's a math problem, you can use x).

Speed multiplied by time equals distance traveled.

v×2+2v×2=24

v=4（km/h)

Walking is 4 km/h and cycling is 8 km/h.

I don't know if the speed calculated by the first one can be used.

If it works, follow the calculations below.

Let the time taken be x

We can assume that A went 24 kilometers first.

If B wants to catch up with A, he has to ride a bicycle for 24 kilometers.

B rode 24 kilometers and took time.

During this time, A is also walking.

So the equation can be listed as.

4×x+24=8×x

The left side of the equation is the distance traveled by A in x time plus the distance between B and B by 24 km.

Solve x=6 (km).

A walked 24 kilometers and B walked 48 kilometers.

All right. The set price is $x.

x=175 I don't know how to explain it.

1.If the walking speed is x km/h, the cycling speed is 2xkmh.

2(x+2x)=24

3x=12x=4

Walking and cycling speeds are 4 km/h and 8 km/h respectively.

2.It takes B y hours to catch up with A.

8y=4y+24

4y=24y=6

A walk = 6 * 8 = 48 km.

B walk = 6 * 4 = 24 km.

It takes 6 hours for B to catch up with A, at which point A and B have covered 48 km and 24 km respectively.

2.The set price is $x.

x=175 is priced at 175 yuan.

1. If the speed of walking is x kilometers per hour, then the speed of cycling is 2x kilometers per hour, 2 * x + 2 * 2 x = 24, x = 4

2. If it takes t hours to catch up, then 8t-4t=24, t=6 hours, A walked 4*6=24 kilometers, and B walked 48 kilometers.

Let the speed of walking be x, and the speed of a car is 2x

x*2+2x*2=24

x=4 for walking speed of 4 and car speed of 8

It takes y hours for B to catch up with A.

8*y-4*y=24

y=6, at this time, A walked, 8y=48, 4y=24

Cart = 2 steps. Car + step) * 2 = 24

2 steps + steps) * 2 = 24

3 steps * 2 = 24

6 steps = 24 steps = 4

Car = 2 steps = 2 * 4 = 8

8-4)*=24

Time = 6 A = 4 * 6 = 24

B = 8 * 6 = 48