Chapter 10: Q 10.3 (page 1157)

Solve $x^{2} - 50 = 0$

Short Answer

Expert verified

The solutions are $x = \pm 5 \sqrt{2}$ .

Step by step solution

Given Information

The Given equation is $x^{2} - 50 = 0$ .

Isolate the quadratic term and makes its coefficient one.

$x^{2} = 50$

Use the square root property.

$x = \pm \sqrt{50}$

Factor the radicand.

$x = \pm \sqrt{2 \times 5 \times 5} x = \pm 5 \sqrt{2}$

Check the solutions.

Substitute $x = 5 \sqrt{2}$ .

$x^{2} - 50 = 0 {(5 \sqrt{2})}^{2} - 50 \overset{?}{=} 0 50 - 50 \overset{?}{=} 0 0 = 0 T r u e$

Substitute $x = - 5 \sqrt{2}$ .

$x^{2} - 50 = 0 {(- 5 \sqrt{2})}^{2} - 50 \overset{?}{=} 0 50 - 50 \overset{?}{=} 0 0 = 0 T r u e$

Thus, the solutions are $x = \pm 5 \sqrt{2}$ .

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Solve $x^{2} - 50 = 0$

Short Answer

Step by step solution

Given Information

Isolate the quadratic term and makes its coefficient one.

Use the square root property.

Check the solutions.

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Solvex2-50=0

Short Answer

Step by step solution

Given Information

Isolate the quadratic term and makes its coefficient one.

Use the square root property.

Check the solutions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Probability and Statistics

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Solve $x^{2} - 50 = 0$