Question

Solve the quadratic equation by using the quadratic formula. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.) 3x2 − 7x + 3 = 0

Answer 1

Answer:
`(7+√(13))/(6), \ \ (7-√(13))/(6)`

Work Shown

a = 3, b = -7, c = 3

`x = (-b\pm√(b^2-4ac))/(2a)\\\\x = (-(-7)\pm√((-7)^2-4(3)(3)))/(2(3))\\\\x = (7\pm√(49 - 36))/(6)\\\\x = (7\pm√(13))/(6)\\\\x = (7+√(13))/(6) \ \text{ or } \ x = (7-√(13))/(6)\\\\`

A graphing calculator can confirm these answers are correct.