Chapter 9: Q. 9.4 (page 862)

Solve $5 m^{2} = 80$

Short Answer

Expert verified

The solutions of the quadratic equation: $m = 4, m = - 4$

Step by step solution

Step 1. Given information

Consider the quadratic equation

$5 m^{2} = 80$

The objective is to solve the quadratic equation by using square root property.

If $x^{2} = k$ , then $x = \pm \sqrt{k}$

The quadratic term is isolated. Divide by 5 to make its coefficient 1.

$\frac{5 m^{2}}{5} = \frac{80}{5}$

Simplify the equation.

$m^{2} = 16$

Step 2. Use the square root property.

The square root property of the quadratic equation is,

$x = \pm \sqrt{16}$

Simplify the radical.

$x = \pm 4$

Rewrite to show two solutions.

$x = 4, x = - 4$

Step 3. Check the solutions.

Substitute $x = 4$ in the original equation.

$5 m^{2} = 80 5 {(4)}^{2} \overset{?}{=} 80 5 (16) \overset{?}{=} 80 80 = 80$

And substitute $x = - 4$ in the original equation.

$5 m^{2} = 80 5 {(- 4)}^{2} \overset{?}{=} 80 5 (16) \overset{?}{=} 80 80 = 80$

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Solve $5 m^{2} = 80$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use the square root property.

Step 3. Check the solutions.

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Solve5m2=80

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use the square root property.

Step 3. Check the solutions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Geometry

Mechanics Maths

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve $5 m^{2} = 80$