Exercise
$x^2+24x+100=-46$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+24x+100=-46. 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 -46 and -100. 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=24 and c=146. 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+24x+100=-46
Final answer to the exercise
$x=\frac{-24+\sqrt{8}i}{2},\:x=\frac{-24-\sqrt{8}i}{2}$