What is the answer to (x+a)(x+b)=x^2+5x+6 ?

The answer to (x+a)(x+b)=x^2+5x+6 is x=(6-ab)/(a+b-5);\quad a\ne-b+5

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(x+a)(x+b)=x^2+5x+6

(x + a) (x + b) = x^{2} + 5 x + 6

x = \frac{6 - ab}{a + b - 5}; a \neq = - b + 5

Solution steps

(x + a) (x + b) = x^{2} + 5 x + 6

Expand

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

x^{2} + b x + a x + ab = x^{2} + 5 x + 6

Move

ab

to the right side

x^{2} + b x + a x = x^{2} + 5 x + 6 - ab

Subtract

x^{2} + 5 x

from both sides

x^{2} + b x + a x - (x^{2} + 5 x) = x^{2} + 5 x + 6 - ab - (x^{2} + 5 x)

Simplify

a x + b x - 5 x = 6 - ab

Factor

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

x (a + b - 5) = 6 - ab

Divide both sides by

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

x = \frac{6 - ab}{a + b - 5}; a \neq = - b + 5

20 x = - 40

- 3 - 0.1 k = 0.4 k

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

t, t (x) = 3 x

x, y + 4 x + 3 = 0

What is the answer to (x+a)(x+b)=x^2+5x+6 ?
The answer to (x+a)(x+b)=x^2+5x+6 is x=(6-ab)/(a+b-5);\quad a\ne-b+5