for ax²+bx+c=0
\(x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}\)
6x²+4x-3=0
a=6
b=4
c=-3
subsitute
\(x= \frac{-4+/- \sqrt{4^2-4(6)(-3)} }{2(6)}\)
\(x= \frac{-4+/- \sqrt{16+72} }{12}\)
\(x= \frac{-4+/- \sqrt{88} }{12}\)
\(x= \frac{-4+/- 2\sqrt{22} }{12}\)
\(x= \frac{-2+/- \sqrt{22} }{6}\)
\(x= \frac{-2+ \sqrt{22} }{6}\) or \(x= \frac{-2- \sqrt{22} }{6}\)
aprox x=0.448403 or -1.11507
