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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 10: Q 33 (page 1165)

Solve the quadratic equation using square root property.
$(a - 4)^{2} = 28$

Short Answer

Expert verified

The solutions are $a = 4 卤 2 \sqrt{7}$ .

Step by step solution

Given Information.

The Given equation is $(a - 4)^{2} = 28$ .

Use square root property.

$a - 4 = 卤 \sqrt{28}$

Solve radical.

$a - 4 = 卤 \sqrt{2 脳 2 脳 7} a - 4 = 卤 2 \sqrt{7}$

Solve for a.

$a = 4 卤 2 \sqrt{7}$

Rewrite to show two solutions.

role="math" localid="1648491172438" $a = 4 + 2 \sqrt{7}, a = 4 - 2 \sqrt{7}$

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Solve the quadratic equation using square root property. (a-4)2=28

Short Answer

Step by step solution

Given Information.

Use square root property.

Solve for a.

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Solve the quadratic equation using square root property.
$(a - 4)^{2} = 28$