187k views
5 votes
Solve the equation by completing the square. show your reasoning. 4x^2-28x=-33

User Reza
by
7.7k points

1 Answer

4 votes

Hello

4x² - 28x = -33

4x² - 28x + 33 = 0

(4x² - 6x) + (-22x + 33) = 0

2x(2x - 3) - 11(2x - 3) = 0

(2x - 11)(2x - 3) = 0

2x - 11 = 0 2x - 3 = 0

2x = 11 2x = 3

x = 11/2 x = 3/2

User Manish Sharma
by
7.5k points

No related questions found