Exercise
$x^2+2x+1=17$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+2x+1=17. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values 17 and -1. Rewrite 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=2 and c=-16. 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+2x+1=17
Final answer to the exercise
$x=\frac{-2+\sqrt{68}}{2},\:x=\frac{-2-\sqrt{68}}{2}$