Question

Use the quadratic formula to solve the equation.–x2 + 5x = 3

Answer 1

Given the equation - x² + 5x = 3, which can be rewritten as:

- x² + 5x - 3 = 0

where a = -1, b = 5 and c = -3.

Quadratic formula:

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

Now, we just replace the values of a, b and c on the equation above.

`\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}`

=

`(5)/(2)\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}`