Question

Hello people ~
factorise: x ^ 2 = 17x + 60​

Answer 1

(x-20) (x+3) =0

Explanation:

x ^ 2 = 17x + 60​

Subtract 17x from each side

x ^ 2 - 17x = 60​

Subtract 60 from each side

x ^ 2 - 17x - 60=0

What 2 numbers multiply by -60 and add to -17

-20 * 3 = -60

-20 +3 = -17

(x-20) (x+3) =0

​

Answer 2

`\rightarrow \sf x^2=\:17x\:+\:60`

change sides

`\rightarrow \sf x^2 -17x -60 = 0`

breakdown, (60 : 20 * 3)

`\rightarrow \sf x^2 -20x +3x-60 = 0`

factor the following

`\rightarrow \sf x(x -20) +3(x-20) = 0`

collect into groups

`\rightarrow \sf (x +3)(x-20) = 0`

final answer

`\rightarrow \sf x=-3, \ 20`