Question

In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x? Quadratic formula: x = x = 5 x = 5 x = 5 x = 5

Answer 1

We are given the quadratic equation:
6 = x² - 10x
We are asked to get the solution of the equation expressed as simplest radical form

The equation can be solved using completing the square method:
x² - 10x + 25 = 6 + 25
(x - 5)² = 31
The solutions are
x = 5 + √31
and
x = 5 - √31