What is the answer to x^2+5x-36=(x-a)(x+b) ?

The answer to x^2+5x-36=(x-a)(x+b) is x=(-ab+36)/(a-b+5);\quad a\ne b-5

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x^2+5x-36=(x-a)(x+b)

x^{2} + 5 x - 36 = (x - a) (x + b)

x = \frac{- ab + 36}{a - b + 5}; a \neq = b - 5

Solution steps

x^{2} + 5 x - 36 = (x - a) (x + b)

Expand

(x - a) (x + b) : x^{2} + b x - a x - ab

x^{2} + 5 x - 36 = x^{2} + b x - a x - ab

Move

36

to the right side

x^{2} + 5 x = x^{2} + b x - a x - ab + 36

Subtract

x^{2} + b x - a x

from both sides

x^{2} + 5 x - (x^{2} + b x - a x) = x^{2} + b x - a x - ab + 36 - (x^{2} + b x - a x)

Simplify

a x - b x + 5 x = - ab + 36

Factor

a x - b x + 5 x : x (a - b + 5)

x (a - b + 5) = - ab + 36

Divide both sides by

a - b + 5; a \neq = b - 5

x = \frac{- ab + 36}{a - b + 5}; a \neq = b - 5

x, x + 5 y = - 9

- (\frac{- 1}{5}) + x = \frac{- 11}{7}

s = 2 + \frac{5}{2} + \frac{8}{2 ^{2}} + \frac{11}{2 ^{3}}

k, 2 x^{3} + 2 x^{2} - 72 x + k = 0

5 x^{2} - 70 x + 235 = 5 \cdot (x - a)^{2} - b

What is the answer to x^2+5x-36=(x-a)(x+b) ?
The answer to x^2+5x-36=(x-a)(x+b) is x=(-ab+36)/(a-b+5);\quad a\ne b-5