In simplest radical form, what are the solutions to the quadratic equation 6 = x^2 - 10x
1 answer:
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Answer:
x = +2, x = -2
Step-by-step explanation:
The equation to solve in this problem is
The first step we do is to subtract 35 on both sides of the equation, so we get:
Now we simplify the equation by dividing both terms by 10:
Now we observe that the term on the left is the difference between two squares, so it can be rewritten using the property:
Where here,
a = x
b = 2
So we can rewrite the equation as:
And this equation is zero when either one of the two factors is zero, so the two solutions are: