By using Bhaskara's formula, we will see that the two solutions are:
How to solve a quadratic equation?
Here we have the equation:
x^2 = -5x + 8.
This is a quadratic equation, remember that for the general quadratic equation:
a*x^2 + b*x + c = 0
The solutions are given by Bhaskara's formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
We can rewrite our equation as:
x^2 + 5*x - 8 = 0
Using the above formula we get the solutions:
[tex]x = \frac{-5 \pm \sqrt{5^2 - 4*1*-8} }{2*1}\\\\x = \frac{-5 \pm 7.5}{2}\\\\[/tex]
Then the two solutions are:
- x = (-5 + 7.5)/2 = 1.25
- x = (-5 - 7.5)/2 = -6.25
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
