Chapter 10: Q 46 (page 1166)

Solve the quadratic equation using square root property.
$(n - 7)^{2} - 8 = 64$

Short Answer

Expert verified

The solutions are $n = 7 \pm 6 \sqrt{2}$ .

Step by step solution

Given Information.

The Given equation is $(n - 7)^{2} - 8 = 64$ .

Isolate the binomial term.

$(n - 7)^{2} = 64 + 8 (n - 7)^{2} = 72$

Use the Square Root Property.

$n - 7 = \pm \sqrt{72}$

Factor the radical.

$n - 7 = \pm \sqrt{2 \times 2 \times 2 \times 3 \times 3} n - 7 = \pm 6 \sqrt{2}$

Solve for n.

$n = 7 \pm 6 \sqrt{2}$

Rewrite to show two solutions.

$n = 7 + 6 \sqrt{2}, n = 7 - 6 \sqrt{2}$

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Solve the quadratic equation using square root property.
$(n - 7)^{2} - 8 = 64$

Short Answer

Step by step solution

Given Information.

Isolate the binomial term.

Use the Square Root Property.

Solve for n.

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Solve the quadratic equation using square root property. (n-7)2-8=64

Short Answer

Step by step solution

Given Information.

Isolate the binomial term.

Use the Square Root Property.

Solve for n.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Calculus

Decision Maths

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve the quadratic equation using square root property.
$(n - 7)^{2} - 8 = 64$