Use the quadratic formula to solve. Express your answer in simplest form.
15, x, squared, minus, 29, x, plus, 8, equals, minus, 4
15x
2
−29x+8=
−4
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
Plugging in the given values:
a = 15
b = -29
c = 8
x = (-(-29) ± √((-29)^2 - 4(15)(8)))/(2(15))
x = (29 ± √(841 - 480))/(30)
x = (29 ± √(361))/(30)
x = (29 ± 19)/(30)
Therefore, the two values for x in simplest form are:
x1 = (29 + 19)/(30) = 48/30 = 8/5
x2 = (29 - 19)/(30) = 10/30 = 1/3