Exercise
$4x-x^2=2$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the quadratic equation 4x-x^2=2. Rewrite the equation. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. Multiply -1 times -1. 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=-4 and c=2. 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 4x-x^2=2
Final answer to the exercise
$x=\frac{4+\sqrt{8}}{2},\:x=\frac{4-\sqrt{8}}{2}$