x square 8x 9 0 with method .

a) x 2 + 2x + k + 1 = 0

x+1)^2=-k

Because (x+1) 2 is greater than or equal to 0

However, this problem has two real roots, so it cannot be equal to 0

So -k is greater than 0

then k is less than 0 two).

According to the relevant links.

a=1 b=2 c=k+1

then x1+x2=-(2 1)=-2

x1*x2=（k+1)/1=k+1

Bring in inequalities.

2-(k+1) is less than -1

k+3 is greater than 1

k is greater than -2

Criss-cross method.

All unary quadratic equations can be converted into this equation representation.

a*b)x^2+cx+(d*f)=0

Criss-cross. a d

a*f+b*d=c (note: each item must be preceded by a plus sign) b f the original equation can be changed.

ax-d）*（bx-f）=0

For example, example questions. x 2 + 8x - 9 = 0.

a*b=1*1

c=8d*f= -9=-1*9

1*(-1)+1*9=c c is exactly equal to 8 (note: each item must be preceded by a plus sign) The original equation becomes.

1x+(-1)）*1x+9）=0

x-1）*(x+9)=0

x=1 or x=-9.

The square of 2x - 8x=0 is solved as x=0 or x=4.

Matching method: 2x 8x=0

x ² 4x=0

x ²-4x+4=4

x-2） ²=4

x-2=±2

x=0 or x=4

Properties: In elementary algebra, a collocation method is a method used to reduce a quadratic polynomial to the sum of the squares of a primary polynomial and a constant. This method is to polynomialize the following forms to the coefficients a, b, c, d, and e in the above expression, which can also be expressions themselves and can contain variables other than x.

The colocation method is usually used to derive the root finding formula for a quadratic equation: the purpose is to square the left side of the equation perfectly. Since the perfect square in the problem has the form of (x + y)2 = x2 + 2xy + y2, 2xy = (b a)x can be deduced, so y = b 2a.

Add y2 = (b 2a)2 to both sides of the equation.

2x²-8x=0

Solution: 2x(x-4)=0

x=0 or x-4=0

x=0 or x=4

This problem does not need a matching method, and it can be solved by directly extracting the common factor.

Divide both sides of the equation by 2 at the same time, that is, x -4x=0, and add 4 to both sides to get x -4x+4=4, that is, (x-2) = 4, and open at the same time, so x-2 = 2, and the solution is x=4 or x=0.

x" + 10x + 9 = 0 x" + 10x + 25 - 16 = 0 ( x + 5 )" - 4"= 0 ( x + 5 - 4 )(x + 5 + 4 ) = 0 ( x + 1 )(x + 9 ) = 0 Solve the equation to get x1 = -1 x2 = -9 if x"+ 10x = 9, which is x"+ 10x - 9 = 0 same x" + 10x + 25 - 34 = 0 ( x + 5 )" - 34 )"= 0 ( x + 5 + 34 )(x + 5 - 34 ) = 0 Solve the equation to get x1 = -5 - 34 x2 = -5 + 34

x Lingmo +10x+9=0

x��+10x+25-25+9=0

x+5) Potato finger =25-9

x+5) ruler hand bucket =16

x+5=±4

x=-1 or x=-9

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Matching method. x^2-9x+8=0

x-9 pei 2) 2 =81 nano zhongyan 4 -8x-9 2) 2 = 49 4

x-9 Cave 2 = 7 2 or -7 2x=8 or 1

x's square acre is -12x-9=0

x^2-12x+36=45

x-6)^2=45

x-6=±3√5

x=6±3√5

4x square - x-9 = 0 (2x-1 socks 4) squared = 9 + 1 answer: 16 (2x-1 4) = 145 under the positive and negative root number 42x = 145 under the positive and negative root number 4+1 4x = (145 + 1 under the positive and negative root number) 8

Summary. 8x square + 12x + 4 = 0 matching method.

I've figured out how to match, and that's what he ended up with. 8（ x+1/2）（ x+1）＝0