Question

Use the quadratic formula to solve for x.5x? - 7x=2Round your answer to the nearest hundredth.If there is more than one solution, separate them with commas.X == 0DO...Х5?

Answer 1

Given equation:

`5x^2-7x\text{ = 2}`

Re-arranging:

`5x^2-7x\text{ -2 = 0}`

Using quadratic formula:

`x\text{ = }\frac{-b\pm\text{ }\sqrt[]{b^2-4ac}}{2a}`

a = 5, b = -7, c= -2

Substituting into the formula:

`\begin{gathered} x\text{ = }\frac{-(-7)\pm\text{ }\sqrt[]{(-7)^2-4(5)(-2)}}{2*5} \\ =\text{ }\frac{7\pm\sqrt[]{89}}{10} \end{gathered}`

Writing as a decimal:

`x\text{ = }-0.24\text{ or 1.64 (nearest hundredth)}`

Answer:

x = -0.24, 1.64