Share
Explore BrainMass

Quadratic equations

Please help with the attached problems.

Use square root property to solve each equation..

Add proper constant to each binomial so that the resulting trinomial is a perfect square then factor the trinomial

Use quadratic to solve equation with real number solutions.

Attachments

Solution Preview

Please find the solutions/explanations attached herewith.

Use square root property to solve each equation..

3p^2 + 36 = 0

Solution:

We can write it as

3p^2 = - 36

Divide each side by 3, we will get

p^2 = -12

Taking square root on each side, we will get

(x + 10)^2 = 11

Taking square root on each side, we will get

Add proper constant to each binomial so that the resulting trinomial is a perfect square then factor the trinomial

x^2 - 8x + __________________

Add 16 to make it perfect square, the binomial changes to

x^2 - 8x + 16

= (x - 4)(x - 4)

x^2 - 2x - 2 = 0

We can write it as
x^2 - 2x = 2

Add 1 ...

Solution Summary

The solution provides examples of solving quadratic equations using square root property and quadratic formula, and adding a constant to create a perfect square.

$2.19