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Chapter 9: Q. 9.154 (page 1097)

Solve:5q+1+4=6.

Short Answer

Expert verified

The solution isq=35.

Step by step solution

01

Step 1. Given Information 

We are given the quadratic equation 5q+1+4=6and we need to solve it.

02

Step 2. Finding the solution   

Isolating the radical on one side of the equation:

5q+1+4=6⇒5q+1+4-4=6-4⇒5q+1=2

Squaring both sides of the equation, we get:

5q+12=22⇒5q+1=4⇒5q=4-1⇒5q=3⇒q=35

03

Step 3. Checking the answer  

q=35,5q+1+4=6⇒5×35+1+4=6⇒3+1+4=6⇒4+4=6⇒2+4=6⇒6=6

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Most popular questions from this chapter

In the following exercises, solve.

2m+1+4=0

In the following exercises, solve:

3u-2=5u+1.

In the following exercises, solve.

(a) s-8-s=-8

(b)role="math" localid="1647990991155" w+25-w+5=0

Try It.

Solve: n−4+5=3n+3

In the following exercises, simplify and rationalize the denominator.

19175
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