Question

Use the equation x2 - 10x = 11 to fill in the table below.

a) What number is added to both sides so the left side is a perfect square trinomial?
b) After adding the answer from part a) and factoring the left side, what is being squared on the left side?

Answer 1

a) 25

b) the square root of 36 should be done

Explanation:

x² - 10x = 11

take half of 10 and square it

x² - 10x + 25 = 11 + 25

(x-5)² = 36

x-5 =
`√(36)`

x - 5 = 6 and x - 5 = -6

x = 11 and x = -1