Solve the equation by completing the square. show your reasoning. 4x^2-28x=-33

Question

asked Jan 22, 2024 187k views

1 Answer

Manish Sharma · Answer 1 · 2024-01-26T02:38:09+0000

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