More Rational Roots - find a number, c, between 1/3 and 2...

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My question is:

Given \(\displaystyle P(x)=-8x^2+6x+2\), find a number, c, between 1/3 and 2 such that \(\displaystyle P(c)=3\).




I substituted 3 for P(x) and solved to get -8x^2+6x-1

Then I further simplified it to \(\displaystyle (2x+1)(4x-1)\)

So, my two answers are \(\displaystyle x=1/2\) and \(\displaystyle x=1/4\)



Which answer is correct?


Answer choices are

A. 1
B. 1/4
C. 1/2
D. 1 and 1/3
 
Re: More Rational Roots - find a number, c, between 1/3 and

catalinamemday said:
My question is:

Given \(\displaystyle P(x)=-8x^2+6x+2\), find a number, c, between 1/3 and 2 such that \(\displaystyle P(c)=3\).




I substituted 3 for P(x) and solved to get -8x^2+6x-1

Then I further simplified it to \(\displaystyle (2x+1)(4x-1)\)

So, my two answers are \(\displaystyle x=1/2\) and \(\displaystyle x=1/4\)



Which answer is correct?


Answer choices are

A. 1
B. 1/4
C. 1/2
D. 1 and 1/3

Which of the answers you've found are in the specified interval....between 1/3 and 2?
 
Re: More Rational Roots - find a number, c, between 1/3 and

Mrspi said:
Which of the answers you've found are in the specified interval....between 1/3 and 2?


Omw. You make it so easy. haha. Sorry about that.
 
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