Question

21. Use the quadratic formula to solve the equation.-2x + 3x+5-0-1,-2,513

Answer 1

Answer:

-1, 5/

Explanations:

The quadratic formula is given as:

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

From the equation:

-2x² + 3x + 5 = 0

a = -2, b = 3, c = 5

Substitute these values into the quadratic formula:

`\begin{gathered} x\text{ = }\frac{-3\pm\sqrt[]{3^2-4(-2)(5)}}{2(-2)} \\ x\text{ = }\frac{-3\pm\sqrt[]{9+40}}{-4} \\ x\text{ = }\frac{-3\pm\sqrt[]{49}}{-4} \\ \text{x = }(-3\pm7)/(-4) \\ x_1=\text{ }(-3+7)/(-4) \\ x_1=(4)/(-4) \\ x_1=\text{ -1} \\ x_2=\text{ }(-3-7)/(-4) \\ x_2=\text{ }(-10)/(-4) \\ x_2=\text{ }(5)/(2) \end{gathered}`

Therefore, x = -1, 5/2