Question

17. Use the quadratic formula to solve the equation.4x?+ 9x-10-0-10 1608-9 12414-14 02-92418

Answer 1

Answer:
`x\text{ = }\frac{-9\pm\sqrt[]{241}}{8}`

Explanations:

The given quadratic equation is:

`4x^2+9x\text{ - 10 = 0}`

The quadratic formula is gven as:

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

From the given equation:

a = 4, b = 9, c = -10

Substitute these values into the quadratic formula:

`\begin{gathered} \text{x = }\frac{-9\pm\sqrt[]{9^2-4(4)(-10)}}{2(4)} \\ x\text{ = }\frac{-9\pm\sqrt[]{81+160}}{8} \\ x\text{ = }\frac{-9\pm\sqrt[]{241}}{8} \end{gathered}`