Use the quadratic formula to find the solutions to the quadratic equation below 2x^2-5x+5=0

x = (5 + i sqrt (15)) / 4 or x = (5 - i sqrt (15)) / 4

Step-by-step explanation:

Solve for x:

2 x^2 - 5 x + 5 = 0

Hint: | Using the quadratic formula, solve for x.

x = (5 ± sqrt ((-5) ^2 - 4*2*5)) / (2*2) = (5 ± sqrt (25 - 40)) / 4 = (5 ± sqrt (-15)) / 4:

x = (5 + sqrt (-15)) / 4 or x = (5 - sqrt (-15)) / 4

Hint: | Express sqrt (-15) in terms of i.

sqrt (-15) = sqrt (-1) sqrt (15) = i sqrt (15):

Answer: x = (5 + i sqrt (15)) / 4 or x = (5 - i sqrt (15)) / 4