6.) (X+)(X-7)=-3x 7.) (X-4)^2+8=0 8.) (X+2)^2 = (X+)^2 9.) (2x-1)^2=(X+1)^2 10.) 2x(X-4)= (X-3) (X-3)

6.) (x+)(x-7)=-3x 7.) (x-4)^2+8=0 8.) (x+2)^2 = (x+)^2 9.) (2x-1)^2=(x+1)^2 10.) 2x(x-4)= (x-3) (x-3)

 

Answer:

6. \\ (x + 7)(x - 7) = - 3x \\ {x}^{2} + 7x - 7x - 49 = - 3x \\ {x}^{2} - 49 = - 3x \\ {x}^{2} + 3x - 49 = 0 \\ \\ 7. {(x - 4)}^{2} + 8 = 0 \\ (x - 4)(x - 4) + 8 = 0 \\ {x}^{2} - 4x - 4x + 16 + 8 = 0 \\ {x}^{2} - 8x + 24 = 0 \\ \\ 8. {(x + 2)}^{2} = {(x)}^{2} \\ (x + 2)(x + 2) = {x}^{2} \\ {x}^{2} + 2x + 2x + 4 = {x}^{2} \\ {x}^{2} + 4x + 4 = {x}^{2} \\ {x}^{2} - {x}^{2} + 4x + 4 = 0 \\ 4x + 4 = 0

9.

(2x-1)^2 = (x + 1)^2

(2x - 1)(2x - 1) = (x+1)(x+1)

4x^2 - 2x - 2x +1 = x^2 + x + x + 1

4x^2 - 4x + 1 = x^2 + 2x + 1

4x^2 - x^2 - 4x - 2x + 1 - 1 = 0

3x^2 - 6x = 0

10.

2x(x-4)=(x-3)(x-3)

2x^2 - 8x = x^2 - 3x - 3x + 9

2x^2 - 8x = x^2 - 6x + 9

2x^2 - x^2 - 8x + 6x - 9 = 0

x^2 - 2x - 9 = 0


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