Chapter 10: Q 49 (page 1166)

Solve the quadratic equation using square root property.
$6 c^{2} + 4 = 29$

Short Answer

Expert verified

The solutions are $c = \pm \frac{5 \sqrt{6}}{6}$ .

Step by step solution

Given Information.

The Given equation is $6 c^{2} + 4 = 29$ .

Isolate the binomial term.

$6 c^{2} = 29 - 46 c^{2} = 25 c^{2} = \frac{25}{6}$

Use the Square Root Property.

$c = \pm \sqrt{\frac{25}{6}}$

Factor the radical.

$c = \pm \sqrt{\frac{5 \times 5}{6}} c = \pm \frac{5}{\sqrt{6}}$

Rationalize the denominator.

$c = \pm \frac{5}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}} c = \pm \frac{5 \sqrt{6}}{6}$

Rewrite to show two solutions.

$c = \frac{5 \sqrt{6}}{6}, c = - \frac{5 \sqrt{6}}{6}$

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Solve the quadratic equation using square root property.
$6 c^{2} + 4 = 29$

Short Answer

Step by step solution

Given Information.

Isolate the binomial term.

Use the Square Root Property.

Rewrite to show two solutions.

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Solve the quadratic equation using square root property.6c2+4=29

Short Answer

Step by step solution

Given Information.

Isolate the binomial term.

Use the Square Root Property.

Rewrite to show two solutions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Decision Maths

Probability and Statistics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Solve the quadratic equation using square root property.
$6 c^{2} + 4 = 29$