Jan 14-15 Solving Square Root Equations HWK

Ava solves the equation $$x - 2\sqrt{x} = 3$$ and reports two solutions: $$x = 1$$ and $$x = 9$$ .

Which statement correctly classifies Ava’s solutions?

Chelsey models the speed $$y$$ (mph) of a tsunami and the ocean depth $$x$$ (feet) with $$y = 3\sqrt{x} - 4$$ . If satellites recorded a speed of $$200$$ miles per hour, how deep was the ocean?

Solve and check each equation. Find $$x$$ if $$\sqrt{2x+2}-3=2$$ .

x = ____

Solve and check each equation. Find $$j$$ if $$15 - 5\sqrt{j} = 0$$ .

j = ____

Solve and check each equation. Determine all solutions for $$\dfrac{2}{3}c + 1 = \sqrt{4c + 1}$$ .

Solve the equation below and identify any extraneous solutions. What is the solution set to $$\dfrac{1}{2}(x + 17) = 4 - 5\sqrt{x}$$ ?

While solving the $$\sqrt[]{2x+7}=x-4$$ , Marlon writes the associated quadratic equation $$2x+7=\left(x-4\right)^2$$ . He solves this quadratic equation and obtains x = 1, x = 9. Which of Marlon's solutions is an extraneous solution of the original square root equation ?

Solve for x:

$$\sqrt[]{x}-4=8$$

x = ____

Solve for x:

$$\sqrt[]{3x}=6$$

x = ____

Solve for x:

$$0=32-4\sqrt[]{x}$$

x = ____