Rewriting Expressions with Radicals Answers

Solve x2 – 64 = 0. Isolate x2: x2 = 64 Apply the square root property of equality: Isolate the variable: x = x =

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What are the solutions of the quadratic equation 49x2 = 9?

What are the roots of f(x) = x2 – 48?

Solve for x if 2(5x + 2)2 = 48.

Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and on this new map he increases each side by 6 inches. The area of this larger version of the map is 121 square inches. What are the dimensions of his original, smaller map?

Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden. The length of each side of the original garden was feet. The area of the original garden was feet2.

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Sonya found that x = is one solution of (6x + 4)2 = . The other solution is x = .

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Analyze Marika’s steps. Which statement is true about her work?