Question

X²-11x=-24 solve the quadratic equation by factoring

Answer 1

Solving:

Move constants to the left

`x^2-11x=24\\`

write as a difference

`x^2-11x+24=0`

factor

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

factor again

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

separate

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

solve all possible equations.

`x-3=0\\x-8=0`

therefore, our answers are:

`x=3,x=8`

Answer 2

x=8,3

Explanation:

Move

24 to the left side of the equation by adding it to both sides.

x 2−11x+24=0

Factor x2−1 1x+ 24

using the AC method.

(x−8)(x−3)=0

If any individual factor on the left side of the equation is equal to

0 , the entire expression will be equal to 0

x−8=0 x−3=0

Set the first factor equal to

0 and solve.

x =8

Set the next factor equal to 0 and solve.

x = 3

The final solution is all the values that make

( x− 8)(x−3)=0 true.

x =8,3