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Solve the equation x2 − 36 = 0.
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Difference of two squares
Yes, this problem involves the difference of two squares, and there's a formula for that which is worth learning and remembering: \[a ^{2}-b ^{2}=(a-b)(a+b)\]
Please apply this principle to factoring the expression you've posted.
x = 0, –6 x = 0, 6 x = 6, –6 x = 18, –18
J: Please try using that formula to solve this problem by yourself. The expression you've typed in is a "difference of two squares" and those squares are x^2 and 36. What is the square root of x^2? What is the square root of 36?
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