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:
[tex]\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}[/tex]Now, we just replace the values of a, b and c on the equation above.
[tex]\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}[/tex]=
[tex]\frac{5}{2}\text{ }\pm\text{ }\frac{\sqrt[]{13}}{2}[/tex]