Final Answer
$x=\frac{-20+\sqrt{4993.272}}{2},\:x=\frac{-20-\sqrt{4993.272}}{2}$
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Step-by-step Solution
Problem to solve:
$x^2+20x- \frac{574159}{500}=0$
Specify the solving method
1
Divide $-574159$ by $500$
$x^2+20x+1148.318=0$
Learn how to solve quadratic equations problems step by step online.
$x^2+20x+1148.318=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+20x-574159/500=0. Divide -574159 by 500. 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=20 and c=1148.318. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Multiply -4 times 1148.318.
Final Answer
$x=\frac{-20+\sqrt{4993.272}}{2},\:x=\frac{-20-\sqrt{4993.272}}{2}$