Question

Find the value or values of p in the quadratic equation p2 + 13p – 30 = 0. A. p = 15, p = 2 B. p = –10, p = –3 C. p = 10, p = 3 D. p = –15, p = 2

Answer 1

I hope this helps you




p^2+13p-30=0


p +15


p -2


(p+15)(p-2)=0


p= -15


p=2

Answer 2

The correct option is D.

Explanation:

The given quadratic equation is

`p^2+13p-30=0`

First find two numbers whose sum is 13 and whose product is -30.

The two numbers are 15 and -2.

`p^2+(15-2)p-30=0`

`p^2+15p-2p-30=0`

`p(p+15)-2(p+15)=0`

`(p+15)(p-2)=0`

By using zero product property, equate each factor equal to 0.

`p+15=0`

`p=-15`

`p-2=0`

`p=2`

Therefore the values of p are -15 and 2. Option D is correct.