Question

I need help for summer school. plz I'm in honors math 2 and i cant find an answer. The equation is: -7x-60=x^2+10x

Answer 1

-12, and -5

Explanation:

We first need to turn this equation into a quadratic. To do so, we set one side to zero. Our new equation is now

x^2+17x+60=0

By using the factoring the equation, we can see that this can be made into

(x+12)(x+5)

Our roots are now -12 and -5.

Hope this helped!

Answer 2

x = -12 x = -5

Explanation:

-7x-60=x^2+10x

Add 7x to each side

-60=x^2+10x+7x

-60=x^2+17x

Add 60 to each side

0 = x^2+17x+60

Factor

What 2 numbers multiply to 60 and add to 17

12*5 = 60

12+5 = 17

0 = (x+12) (x+5)

Using the zero product property

x+12 = 0 x+5 =0

x = -12 x = -5