Question

Use the quadratic formula to solve.

Express your answer in simplest form.
2t² + 5t-11 = 1

Answer 1

1.5 or -4

Explanation:

2t² + 5t - 11 = 1

2t² + 5t - 12 = 0

Quadratic formula: ax² + bx + c = 0

=> x = [-b ± √(b² - 4ac)]/2a

x = [-5 ± √(5² - 4*2*-12)]/2*2

x = [-5 ± √(25 - -96)]/4

x = [-5 ± √(25 + 96)]/4

x = [-5 ± √121]/4

x = [-5 ± 11]/4

x = [-5 + 11]/4

x = 6/4 = 1.5

x = [-5 - 11]/4

x = -16/4 = -4