Question

6b^2+4b-24=0 using quadratic

Answer 1

Answer:

b=  -1±√37 over 3

Answer 2

$\text{Use quadratic equation:}\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{Plug in and solve:}\\\\x=\frac{-4\pm\sqrt{4^2-4(6)(-24)}}{2(6)}\\\\x=\frac{-4\pm\sqrt{16+576}}{12}\\\\x=\frac{-4\pm\sqrt{592}}{12}\\\\x=\frac{-4\pm4\sqrt{37}}{12}\\\\\text{Factor out the 4}\\\\x=\frac{-1\pm4\sqrt{37}}{3}\\\\\boxed{x=\frac{-1+4\sqrt{37}}{3}}\\\\\text{Factor out the negative}$

$\boxed{x=-\frac{1+4\sqrt{37}}{3}}$