Answer:
x = 2.0785 and x = -2.245
Step-by-step explanation:
The following is the step by step solution to the problem.
6x² + x - 28 = 0
Where,
a = 6
b = 1
c = -28
Using the formula,
x = [(-b + √((b)² - 4ac)) / 2a] and x = [(-b - √((b)² - 4ac)) / 2a]
x = [(-1 + √((1)² - 4(6)(-28))) / 2(6)] and x = [(-1 - √((1)² - 4(6)(-28))) / 2(6)]
x = [(-1 + 25.94) / 12 and x = [(-1 - 25.94) / 12
x = 2.0785 and x = -2.245