Question

Solve
3x2 - 5x - 1 = 0

Answer 1

Answer:

x = -0.18046, 1.84713

Step-by-step explanation:

Since we cannot factor the quadratic, we need to use quadratic formula ($x = \frac{-b+/- \sqrt{b^2-4ac} }{2a}$):

a = 3

b = -5

c = -1

$x = \frac{-(-5) +/- \sqrt{(-5)^2-4(3)(-1)} }{2(3)}$

$x = \frac{5+/- \sqrt{25 + 12} }{6}$

$x = \frac{5+/- \sqrt{37} }{6}$