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