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Sati [7]
3 years ago
14

Find the solutions to the equation below. 9x^2 -81 = 0

Mathematics
2 answers:
Shalnov [3]3 years ago
6 0
9x^2 -81 = 0 \\
x^2-9=0\\
x^2=9\\
x=-3 \vee x=3
larisa [96]3 years ago
3 0
The solutions to the equation are +3 and -3.

This equation is called a <em>perfect square binomial</em> because it can be factored as a difference of two squares. To solve, first, you have to factor out like terms. In this case, you would factor out a 9 from the equation. Then, solve for X.

9x² - 81 = 0
9(x² - 9) = 0
x² - 9 <em>+ 9</em> = 0 <span><em>+ 9</em></span>
√x² = √9
x = +3, -3
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