Question

In simplest radical form, what are the solutions to the quadratic equation 6 = x^2 - 10x

Answer 1

Answer:

The solution set is {5 + √31,  5 - √31}.

Step-by-step explanation:

6 = x^2 - 10x

x^2 - 10x  = 6

Completing the square:-

(x - 5)^2 - 25 = 6

Adding 25 to both sides:-

(x - 5)^2 = 31

Taking square roots:-

x - 5 =  +/- √31

Solutions  are x = 5 + √31,  5 - √31