Question

Complete the square to solve the equation below.

x2 + 10x - 13 = 17

Answer 1

ok i will go through it with you: add 13 to both sides. tell me what the resulting equation is

Answer 2

hello?

Answer 3

what do you get when you add 13 to both sides?

Answer 4

ok so when you add 13 to both sides you get x2+10x = 30

Answer 5

then you add half of the b term squared to both sides

Answer 6

the b term is 10 so half of it is 5 and that squared is 25

Answer 7

if you add 25 to both sides you get x2+10x+25=55

Answer 8

the reason we added 25 is now we can write the left hand sdes as (x+half the b term)^2

Answer 9

half the b term is 5 so we can write th left hand side as (x+5)^2 = 55

Answer 10

that means x+5 = sqrt(55) or x+5 = -sqrt(55)

Answer 11

so x equals sqrt(55)-5 or -sqrt(55)-5

Answer 12

thats it