9514 1404 393
Answer:
(A, B, C) = (2, 5, 2)
Step-by-step explanation:
Undo the square operation by taking the square root. Both the positive and negative square roots are solutions to the equation.
[tex]c -2 = \pm\sqrt{50}[/tex]
Add 2 to both sides of the equation:
[tex]c = 2\pm\sqrt{50}[/tex]
Simplify the square root:
[tex]c=2\pm\sqrt{25\cdot2}=2\pm\sqrt{25}\cdot\sqrt{2}\\\\\boxed{c=2\pm5\sqrt{2}}\qquad\text{A=2, B=5, C=2}[/tex]
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Additional comment
Square roots are simplified by factoring out the factors that are perfect squares.
