Question

Use the quadratic formula to solve the following quadratic equations:
1. 3x = 4 - x^2
2. 2x^2 - 6 = 3x

Answer 1

first get all the terms on the left hand side of the equation

\[ax^2+bx+c=0\]
then apply the quadratic formula
\[x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]