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Magazine Problem 8
Solve each equation. Check the solutions. $$\frac{-12}{x}=x+8$$
Problem 8
Use the zero-factor property to solve each equation. \(2 x^{2}+x-6=0\)
Problem 11
Use the zero-factor property to solve each equation. \(x^{2}-6 x=-8\)
Problem 14
Use the zero-factor property to solve each equation. \(5 x^{2}=11 x-2\)
Problem 15
Use the zero-factor property to solve each equation. \(8 x^{2}+14 x+3=0\)
Problem 23
Use the square root property to solve each equation. \(x^{2}-20=0\)
Problem 27
Use the square root property to solve each equation. \(2 x^{2}+7=61\)
Problem 34
Use the square root property to solve each equation. \((x-4)^{2}=64\)
Problem 34
Use the quadratic formula to solve each equation. (All solutions for these equations are real numbers.) $$ (2 x-1)^{2}=x+2 $$
Problem 34
Solve each problem. When appropriate, round answers to the nearest tenth. Manuel is planting a vegetable garden in the shape of a right triangle. The longer leg is \(3 \mathrm{ft}\) longer than the shorter leg, and the hypotenuse is \(3 \mathrm{ft}\) longer than the longer leg. Find the lengths of the three sides of the garden.
