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x^2+3x-40=0

Solve the equation 3x-40+x^2=0

Answer

$x_1=5,\:x_2=-8$

Step-by-step explanation

Problem

$x^2+3x-40=0$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=1$, $b=3$ and $c=-40$

$x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

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Answer

$x_1=5,\:x_2=-8$