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Chapter 5: Q. 36 (page 349)

Solve each equation. Express irrational solutions in exact form and as a decimal rounded to 3 decimal places. Verify your results using a graphing utility:3x2+x=3

Short Answer

Expert verified

The solution set of x=-1-32,-1+32鈮�-1.366,0.366

Step by step solution

01

Step 1. Given information 

An equation,3x2+x=3

02

Step 2. Required to find 

Solve the given equation to find x.

03

Step 3. Solving the equation

Given, 3x2+x=3

role="math" localid="1646572989517" 鈬�3x2+x=312

鈬�x2+x=12

鈬�x2+x-0.5=0

For quadratic equation, ax2+bx+c=0, using quadratic formula, x=-b卤b2-4ac2a

x=-1卤12-4(1)(-0.5)2(1)

x=-1卤1+22

x=-1卤32

role="math" localid="1646573703954" x=-1-32,x=-1+32

x=-1.366,x=0.366

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