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The solution of atom6417 is really ingenious.
Now I will give you a more general solution.
3a-4 a to the third power =
8a^3-6a+1=0
Let x=1 a
Then: x 3-6x 2+8=0
Order: f(x)=x 3-6x 2+8
f'(x)=3x^2-12x
When f'(x)=0, x=0, x=4
These are two extreme points.
f(0)=8>0
f(4)=-24<0
So: there is root between x=0 and 4.
Whereas: f(6) = 8>0, so: there is a root between x=4 and 6.
f(-2)=-24<0, so: there is a root between x=-2 and 0.
This determines the intervals of the three roots of the equation.
Next, it is usually a computer program (this program is small) to find the root, and if it is a manual calculation, follow the following (but it is very complicated):
For example, find the root between x=4 and 6 (known f(4)<0, f(6)>0)f(5)=-17<0, so the root is between (5,6).
f(<0, so the root is between (,6).
f(<0, so the root is between (,6).
f(>0, so the root is between (,.
f(>0, so the root is between (,.
f(>0, so the root is between (,.
f(>0, so the root is between (,.
f(<0
Find: x=, a=1 x=
Similarly, it is possible to find a=, a=
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Because sin(3x) = 3 sin(x) -4 (sin(x)) 3
So let a=sin(x).
3a-4a^3=
sin(3x)=
3x) = 30 degrees, 150 degrees, 390 degrees, 510 degrees, 750 degrees, 870 degrees.
x = 10 degrees, 50 degrees, 130 degrees, 170 degrees, 250 degrees, 290 degrees.
So a = sin(10 degrees), sin(50 degrees), sin(250 degrees).
a = sin(10 degrees), sin(50 degrees), sin(70 degrees)a= , four significant figures
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The equation is 8a 3-6a + 1 = 0
Let's solve cubic equations.
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3a to the third power - (-5a square + 3 (a to the third power + 4/3a square - 3 points to judge the servant one) + 4).
3a to the third power + 5a square -3 (a to the third power + 4/3a square - 1/3) - 43a to the power of the three friends + 5a square - (3a to the third power + 4a square - 1) - 43a cubic + 5a square - 3a cubic - 4a square + 1-4a square - 3
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It is only suspected that there is a useful quarrel hand meter and a calculator to calculate. The result is approximately:
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Solution:3
Brief 1, 3 (3, 10) and tease.
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Not a few times a party of 3. , is three tenths, not a few times of three.
Brief introduction. Percentage.
It is usually not written as a fraction, but in a percent sign.
to represent, such as 41%, 1%, etc. Due to the denominator of percentages.
All lead slag imitation 100, that is, they are all in 1% units, so it is easy to compare. Percentages only represent the relationship between two numbers, so units cannot be added after the percent sign.
Percentage is a way of expressing a proportion, ratio, or fractional value, such as 82% for eighty-two percent, or82。Cheng and fold means that the number of tenths of the beam returns, for example, "seventy percent" and "seven folds of Huai fiber", representing 70 100 or 70% or.
So the percentage cannot be followed by the unit.
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The process is as follows: >>>More
x+5)^4+(x+3)^4-82
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Any unary quadratic equation ax 2 bx c 0(a≠0) can be configured as (x+(b 2a)) 2=b 2-4ac, because a≠0, from the meaning of the square root, the sign of b 2 4ac can determine the case of the root of the unary quadratic equation b 2 4ac is called the discriminant of the root of the unary quadratic equation ax 22 bx c 0(a≠0), which is denoted by " " (read delta), that is, b 2 4ac >>>More