Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.

Question 6 options:


A)


x = –3, x = –5∕2


B)


x = –3, x = 5∕2


C)


x = 5∕2, x = 3


D)


x = – 5∕2, x = 3


which one is right. keep it simple

Respuesta :

Answer:

B) x = 3 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - x = 15

Subtract 15 from both sides:

2 x^2 - x - 15 = 0

x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:

x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (1 + 11)/4 or x = (1 - 11)/4

(1 + 11)/4 = 12/4 = 3:

x = 3 or x = (1 - 11)/4

(1 - 11)/4 = -10/4 = -5/2:

Answer:  x = 3 or x = -5/2

The answer is b have a great day also could I get brainliest