Chapter 10: Q25. (page 629)

Solve each equation. Check your solution.
$\sqrt{15 - x} = 4$

Short Answer

Expert verified

The solution of the given equation is $x = - 1$ .

Check:

Substitute $- 1$ for x in the given equation $\sqrt{15 - x} = 4$ .

$\sqrt{15 - x} = 4 \sqrt{15 - (- 1)} \underline{\underline{?}} 4 \sqrt{15 + 1} \underline{\underline{?}} 4 \sqrt{16} \underline{\underline{?}} 4 4 = 4$

Therefore, $x = - 1$ is the solution of the given equation $\sqrt{15 - x} = 4$ .

Step by step solution

Step 1. Rewrite the given equation.

The given equation can be written as:

$\sqrt{15 - x} = 4 {(\sqrt{15 - x})}^{2} = 4^{2} (squaringbothsides) 15 - x = 16$

Step 2. Solve the given equation.

The solution of the given equation is:

$15 - x = 16 15 - 16 = x - 1 = x$

Therefore, the solution of the given equation is $x = - 1$ .

Step 3. Check the solution.

Substitute $- 1$ for x in the given equation $\sqrt{15 - x} = 4$ .

$\sqrt{15 - x} = 4 \sqrt{15 - (- 1)} \underline{\underline{?}} 4 \sqrt{15 + 1} \underline{\underline{?}} 4 \sqrt{16} \underline{\underline{?}} 4 4 = 4$

Therefore, $x = - 1$ is the solution of the given equation $\sqrt{15 - x} = 4$ .

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Solve each equation. Check your solution.
$\sqrt{15 - x} = 4$

Short Answer

Step by step solution

Step 1. Rewrite the given equation.

Step 2. Solve the given equation.

Step 3. Check the solution.

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Solve each equation. Check your solution.15−x=4

Short Answer

Step by step solution

Step 1. Rewrite the given equation.

Step 2. Solve the given equation.

Step 3. Check the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$\sqrt{15 - x} = 4$