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Chapter 8: Q. 1 (page 556)

Find the real solutions, if any, of the equation 3x2+1=4x.

Short Answer

Expert verified

The solutions of the equation arex=13,1.

Step by step solution

01

Step 1. Given Information

The given equation is3x2+1=4x.

02

Step 2. Factor the Equation

  • Write the equation in standard form.

3x2-4x+1=0

  • Factor the equations.

3x2-3x-x+1=0(3x-1)(x-1)=0

03

Step 3. Find the Solution

  • Equate both the factors to 0 to find the solution.

3x-1=0x=13x-1=0x=1

  • So, the solution set ofxisrole="math" localid="1646704327562" 13,1.

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