Question

Solve the quadratic by factoring. 5, x, squared, minus, 19, x, plus, 3, equals, 2, x, minus, 1 5x 2 −19x 3=2x−1 Answer

Answer 1

x = 1/5 or x = 4

Explanation:

5x² - 19x + 3 = 2x - 1

5x² - 19x + 3 - 2x + 1 = 0

5x² - 19x - 2x + 3 + 1 = 0

5x² - 21x + 4 = 0

5x² - 20x - x + 4 = 0

5x(x - 4) - 1(x - 4) = 0

(5x - 1)(x - 4) = 0

thus,

x = 1/5 or x = 4