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mezya [45]
1 year ago
15

Solve the quadratic equation x^2 3x = 40 using the quadratic formula

Mathematics
1 answer:
Ilia_Sergeevich [38]1 year ago
6 0

We have the equation:

x^2+3x=40

We have to find its roots with the quadratic formula:

\begin{gathered} x^2+3x-40=0 \\ x=\frac{-3}{2\cdot1}\pm\frac{\sqrt[]{3^2-4\cdot1\cdot(-40)}}{2\cdot1} \\ x=-\frac{3}{2}\pm\frac{\sqrt[]{9+160}}{2} \\ x=-\frac{3}{2}\pm\frac{\sqrt[]{169}}{2} \\ x=-\frac{3}{2}\pm\frac{13}{2} \\ x_1=-\frac{3}{2}-\frac{13}{2}=-\frac{16}{2}=-8 \\ x_2=-\frac{3}{2}+\frac{13}{2}=\frac{10}{2}=5 \end{gathered}

Answer:

The roots (or solutions) of the equation are:

x1 = -8

x2 = 5

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