Solve for x.

4x^2 - 40x + 94 = 0

Answer: x = 41.22 and 38.78

Step-by-step explanation:

Given the equation

4x² - 40x + 94 = 0

Using the general formula

x = - b+/-√b²-4ac/2a

Where a = 4, b = - 40 c = 94

x = - (-40) + / -√ (-40) ²-4 (4) (94) / 2 (4)

x = 40+/-√1600-1504/8

x = 40 + / -√96/8

x = 40 + / -9.8/8

x = 40+/-1.22

x = 40+2.22 = 41.22

and x = 40 - 1.22

x = 38.78