Chapter 8: Q. 302 (page 824)

In the following exercises, solve.
$\sqrt{v - 10} + 10 = v$

Short Answer

Expert verified

The solutions of the given equation are $v = 10$ and $v = 11$ .

Step by step solution

Step 1. Given information.

The given equation is:

$\sqrt{v - 10} + 10 = v$

Step 2. Solve the equation.

The given equation can be written as:

$\sqrt{v - 10} = v - 10$

Take square on both sides.

$\begin{array}{rcl} (\sqrt{v - 10})^{2} & = & (v - 10)^{2} \\ v - 10 & = & (v - 10)^{2} \\ 0 & = & (v - 10)^{2} - (v - 10) \\ 0 & = & (v - 10) (v - 10 - 1) \\ 0 & = & (v - 10) (v - 11) \\ v & = & 10, 11 \end{array}$

Step 3. Conclusion.

The solutions of the given equation are $v = 10$ and $v = 11$ .

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In the following exercises, solve.
$\sqrt{v - 10} + 10 = v$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the equation.

Step 3. Conclusion.

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In the following exercises, solve.v-10+10=v

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the equation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, solve.
$\sqrt{v - 10} + 10 = v$