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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 10.5 (page 1158)

Solve $2 x^{2} = 98$ .

Short Answer

Expert verified

The solutions are $x = 7, x = - 7$ .

Step by step solution

01

Given Information.

The Given equation is $2 x^{2} = 98$ .

02

Isolate the quadratic term and makes its coefficient one.

$2 x^{2} = 98 x^{2} = \frac{98}{2} x^{2} = 49$

03

Use the square root property.

$x = 卤 \sqrt{49}$

04

Simplify the radical.

Factor the radicand.

$x = 卤 \sqrt{7 脳 7} x = 卤 7$

Rewrite to show two solutions.

$x = 7, x = - 7$

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