For this, we will be using the quadratic formula, which is [tex] x=\frac{-b+/-\sqrt{b^2-4ac}}{2a} [/tex], with a=x^2 coefficient, b=x coefficient, and c = constant. Our equation will look like this: [tex] x=\frac{-6+/-\sqrt{6^2-4*(-2)*3}}{2*(-2)} [/tex]
Firstly, solve the multiplications and the exponents: [tex] x=\frac{-6+/-\sqrt{36+24}}{-4} [/tex]
Next, do the addition: [tex] x=\frac{-6+/-\sqrt{60}}{-4} [/tex]
Next, your equation will be split into two: [tex] x=\frac{-6+\sqrt{60}}{-4},\frac{-6-\sqrt{60}}{-4} [/tex] . Solve them separately, and your answer will be [tex] x=-0.436,3.436 [/tex]
