Chapter 10: Q37. (page 658)

Solve each equation. Check your solution.
$10 + 2 \sqrt{x} = 0$

Short Answer

Expert verified

There is no solution of the given equation.

Check:

Substitute 25 for x in the given equation $10 + 2 \sqrt{x} = 0$ .

$10 + 2 \sqrt{x} = 0 10 + 2 \sqrt{25} \underline{\underline{?}} 0 10+2 (5) \underline{\underline{?}} 0 10+10 \underline{\underline{?}} 0 20 \neq 0$

Therefore, $x = 25$ is not the solution of the given equation $10 + 2 \sqrt{x} = 0$ .

Step by step solution

Step 1. Rewrite the given equation.

The given equation can be written as:

$10 + 2 \sqrt{x} = 0 2 \sqrt{x} = - 10 \sqrt{x} = - \frac{10}{2} \sqrt{x} = - 5$

Step 2. Solve the given equation.

The solution of the given equation is:

${(\sqrt{x})}^{2} = {(- 5)}^{2} (squaringbothsides) x = 25$

Therefore, the value of x is 25.

Step 3. Check the solution.

Substitute 25 for x in the given equation $10 + 2 \sqrt{x} = 0$ .

$10 + 2 \sqrt{x} = 0 10 + 2 \sqrt{25} \underline{\underline{?}} 0 10+2 (5) \underline{\underline{?}} 0 10+10 \underline{\underline{?}} 0 20 \neq 0$

Therefore, $x = 25$ is not the solution of the given equation $10 + 2 \sqrt{x} = 0$ .

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Solve each equation. Check your solution.
$10 + 2 \sqrt{x} = 0$

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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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

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Solve each equation. Check your solution.
$10 + 2 \sqrt{x} = 0$