3 years ago

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

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

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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