Question

Solve the following by factoring. Make sure to put the answer in the form " x = a or x =b"

x^2 + 5x = 24

Answer 1

set the equation = 0
thats first step

Answer 2

2 numbers whose sum is 5 and product is -24 are .. ?

Answer 3

idk can they add and subtract

Answer 4

hint : one of the numbers is negative

Answer 5

(1,2,3,4,6,8,12,24)

Answer 6

2 +-3

Answer 7

2-3 will be -1
how about 8 and 3, +8 and -3, sum =... ?

Answer 8

-5

Answer 9

8+ (-3) will be +5 which we want...

Answer 10

ok

Answer 11

8*(-3) =-24

Answer 12

so, split up 5x as 8x-3x

Answer 13

\(x^2+8x-3x-24=0\)
can you factor now ?

Answer 14

(x+8)(x-3)

Answer 15

\(\huge \color{red}\checkmark\)

Answer 16

so, what are the values of x ?

Answer 17

-8 and 3

Answer 18

you got it :)

Answer 19

confused i got it wrong

Answer 20

x = 3 or x =-8
must be correct