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Chapter 9: Q. 19 (page 869)

In the following exercises, solve each equation.

7p2+10=26

Short Answer

Expert verified

The solution of the equation isp=417,-417

Step by step solution

01

Step 1. Given information

In the given question we have to solve given equation.
7p2+10=26

02

Step 2. The given equation is 7p2+10=26

Isolate the quadratic term.

Subtract 10 on both side

7p2+10-10=26-107p2=16

Divide by 7 on both side

77p2=167p2=167

03

Step 3. Use the Square Root Property.

p=卤167

Simplify the radical.

p=卤417

04

Step 4. Rewrite to show two solutions.

p=417p=-417

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