Question 1

Which of the following equations is best solved using the square root method?

Accepted Answer

$$(x - 2)^2$ = 25$$

Question 2

Solve for $$y in $$the equation $$2y^2 + 4 = 24$ using the square root method.

Accepted Answer

$$y = \pm 2$$

Question 3

Given $$(x + 3)^2$ = 16$$, what are the solutions for $$x$$?

Accepted Answer

$$x = 1$$ and $$x = -7$$

Question 4

Which step is necessary when solving $$(4x - 5)^2$ - 48 = 0 by $$the square root method?

Accepted Answer

Add $$48 to $$both sides

Question 5

After isolating the squared term in $$(4x - 5)^2$ = 48$$, what is the next step?

Accepted Answer

Take the square root of both sides

Question 6

What are the solutions to $$(4x - 5)^2$ = 48$$?

Accepted Answer

$$x = \frac{5 \pm 4\sqrt{3}}{4}$$

Question 7

If $$x^2 = p$ and p$$ \u003e 0$$, what are the solutions for x$?

Accepted Answer

$$x = \pm \sqrt{p}$$

Question 8

A ball is thrown upward and its height in meters after $$t$$ seconds is given by $$h = -4.9t^2$ + 20. At $$what time does the ball reach a height of $$15$$ meters? (Round to the nearest tenth)

Accepted Answer

$$t = 1.0 or$$ $$t = 2.0$$

Question 9

Which of the following is a common mistake when solving $$x^2 = 9$?

Accepted Answer

Forgetting to include both $$+3$$ and $$-3 as $$solutions

Question 10

If $$x^2 + 4 = 0$, what type of solutions does the equation have?

Accepted Answer

Two complex solutions

Question 11

A company’s profit $$P (in $$thousands of dollars) after $$x$$ years is modeled by $$P = (x - 2)^2$. In how many years will the profit be 9$ thousand dollars?

Accepted Answer

$$x = -1 or$$ $$x = 5$$

Question 12

Which equation below is NOT suitable for the square root method?

Accepted Answer

$$x^2 + 4x + 4 = 0$

Solving Quadratic Equations by the Square Root Method – College Algebra Study Guide

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