Question

Use the quadratic formula to solve for x.5x²-7x=2Round your answer to the nearest hundredth.If there is more than one solution, separate them with commas.X =0.0...Х

Answer 1

We need to solve the following equation:

`5x^2-7x=2`

The first step is to move all the terms to the left side:

`5x^2-7x-2=0`

Then we have to calculate the roots of the equation:

`\begin{gathered} x_(1,2)=\frac{-(-7)\pm\sqrt[]{(-7)^2-4\cdot5\cdot(-2)}_{}}{2\cdot5}=\frac{7\pm\sqrt[]{89}}{10} \\ x_(1,2)=(7\pm9.44)/(10) \\ x_1=(7+9.44)/(10)=1.644 \\ x_2=(7-9.44)/(10)=-0.244 \end{gathered}`

The roots are -0.244 and 1.644.