Question

X² + 5x = 24, it turns into

(x + a) (x + b) = 0 where a < b

what is a?
what is b?​

Answer 1

a = -3 and b = 8

Explanation:

change it into x² + 5x - 24 = 0

then think two number which:

if we add both off them the result will be +5 and

if we multiply them, the result is -24

so i came with +8 and -3

then the quadratic equation can change form into

(x-3)(x+8) = 0

so a = -3 and b is 8

Answer 2

a = -3, b = 8

Explanation:

=>
`x^2+5x-24=0`

Using mid-term break formula

=>
`x^2+8x-3x-24` = 0

=> x(x+8)-3(x+8) = 0

=> (x-3)(x+8) = 0

Comparing it with (x+a)(x+b) = 0

We get , a = -3, b = 8