Question

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

Answer 1

Answer:

x=8,3

Step-by-step 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

Answer 2

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:

$x=3,x=8$