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Rewrite x^{2}-16 as x^{2}-4^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

What are the solutions to the equation x^2=-16 ?

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

If you are working in the complex numbers and i = \sqrt {-1} then you can solve x^2 = -16 using the fact that i^2 = -1.

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What are the solutions to the equation (x-2)^2=16 ?

x=\frac{0±\sqrt{0^{2}-4\times 16}}{2} This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 16 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.