Question

7. Use the quadratic formula to solve the equation.4x + x-9-0-11 1722-82908-111454-11 145B

Answer 1

Use the quadratic formula, given by:

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

where a, b and c are the coefficients of the equation:

ax² + bx + c = 0

By comparing the given equation 4x² + x - 9 = 0, with the previous general form, you have:

a = 4

b = 1

c = -9

replace the previous values of the parameters into the quadratic formula:

`\begin{gathered} x=\frac{-1\pm\sqrt[\square]{(1)^(2)-4(4)(-9)}}{2(4)} \\ x=\frac{-1\pm\sqrt[]{145}}{8} \end{gathered}`

The previous expression contains the solutions to the given quadratic equation.