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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 9: Q 32. (page 869)

Solve quadratic equation ${(b - 1)}^{2} - 9 = 39$ using square root property

Short Answer

Expert verified

The values of $b$ are $1 + 4 \sqrt{3}$ and $1 - 4 \sqrt{3}$

Step by step solution

01

Step 1. Given information

The quadratic equation ${(b - 1)}^{2} - 9 = 39$

$鈬� {(b - 1)}^{2} = 48$

02

Step 2. Use square root property

$鈬� b - 1 = 卤 \sqrt{48}$

$鈬� b = 1 卤 \sqrt{48}$

$鈬� b = 1 卤 4 \sqrt{3}$

$鈬� b = 1 + 4 \sqrt{3}$ and $b = 1 - 4 \sqrt{3}$

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Most popular questions from this chapter

Solve by using the Quadratic Formula: $25 t^{2} - 40 t = - 16$

In the following exercises, solve by using the Quadratic Formula. $4 n^{2} - 9 n + 5 = 0$

Determine the number and type of solutions to each quadratic equation.

$a) 8 m^{2} - 3 m + 6 = 0 b) 5 z^{2} + 6 z - 2 = 0 c) 9 w^{2} + 24 w + 16 = 0$

Solve quadratic equation $x^{2} - 6 x + 9 = 12$ using square root property

Solve $x^{2} - 48 = 0$

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