Question

What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

Answer 1

To make ax^2 + bx into a perfect square you need to add the term {b / (2a) }^2

Answer 2

thank you
what about this question
Find the solution to the following equation by transforming it into a perfect square trinomial.
x^2 + 2x = 8

Answer 3

To make x^2 + 2x a perfect square we need to add the term { 2 / (2*1) }^2 which equals 1.
Add 1 to both sides:
x^2 + 2x = 8
add 1 to both sides:
x^2 + 2x + 1 = 8 + 1
(x + 1)^2 = 9
Take square root on both sides:
x + 1 = +/- 3
x = +3 - 1 or x = -3 - 1
x = 2 or x = -4

Answer 4

thank you