Chapter 10: Q 6 (page 1165)

Solve the quadratic equation using square root property.
$v^{2} - 80 = 0$ .

Short Answer

Expert verified

The solutions are $v = \pm 4 \sqrt{5}$ .

Step by step solution

Given Information.

The Given equation is $v^{2} - 80 = 0$ .

Isolate the quadratic term and makes its coefficient one.

$v^{2} - 80 = 0 v^{2} = 80$

Use the square root property.

$v = \pm \sqrt{80}$

Simplify the radical by factoring the radicand.

$v = \pm \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 5} v = \pm 4 \sqrt{5}$

Check the solutions.

Substitute $v = 4 \sqrt{5}$

v^{2} - 80 = 0 (4 \sqrt{5})^{2} - 80 \overset{?}{=} 0 80 - 80 = 0 0 = 0

Substitute $v = - 4 \sqrt{5}$

$v^{2} - 80 = 0 (- 4 \sqrt{5})^{2} - 80 \overset{?}{=} 0 80 - 80 = 0 0 = 0$

The solutions are true.

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Solve the quadratic equation using square root property.
$v^{2} - 80 = 0$ .

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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Solve the quadratic equation using square root property. v2-80=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

Probability and Statistics

Calculus

Mechanics Maths

Statistics

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the quadratic equation using square root property.
$v^{2} - 80 = 0$ .