Find the value or values of p in the quadratic equation p² + 13p - 30 = 0.

Solution:

Here we use splitting the middle term method to find the value.

Given, the quadratic equation is p² + 13p - 30 = 0.

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

p² + 15p - 2p - 30 = 0

Taking out the common terms

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

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

By using zero product property,

p + 15 = 0

p = -15

p - 2 = 0

p = 2

Therefore, the values of p are -15 and 2.

Find the value or values of p in the quadratic equation p² + 13p - 30 = 0.

Summary:

 The values of p in the quadratic equation p² + 13p - 30 = 0 are -15 and 2. Here we use splitting the middle term method to find the value.