Exercise
$-x^2=-3x+18$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -x^2=-3x+18. Multiply both sides of the equation by -1. Solve the product -\left(-3x+18\right). Move everything to the left hand side of the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-3 and c=18. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.
Solve the quadratic equation -x^2=-3x+18
Final answer to the exercise
$x=\frac{3+\sqrt{63}i}{2},\:x=\frac{3-\sqrt{63}i}{2}$