Question

Solving Quadratics by Completing the Square
5p^2 +15p-12=8
This is supposed to involve fractions when completing the square and will have a rational answer.

Answer 1

Okay, first thing to do is to put it in the proper form, which is x^2 + bx = c
Add 12 to each side, then divide through by the coefficient of p^2.

Next, take half of the coefficient of p, square it, and add that to both sides. Now you can write the left hand side as a square (p+(b/2))^2 where b was the coefficient of the p term. Finally, take the square root of both sides and solve for the values of p.