Answer: The best I could come up with is √65, −√65 or, 1, you pick!
(Decimal: 8.06225774…, −8.06225774…)
Explanation:
Rewrite the equation as
x^2 = 8^2 + 1^2.
One to any power is one.
x^2 = 8^2 + 1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
x = ± √8^2 + 1
x = ± √64 + 1
Add 64 and 1.
x = ± √65
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
x = √65
Next, use the negative value of the ± to find the second solution.
x = −√65
The complete solution is the result of both the positive and negative portions of the solution.
x = √65, −√65
The result can be shown in multiple forms.
Exact Form:
x = √65, −√65
Decimal Form:
x = 8.06225774..., −8.06225774…