GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If 5x^2+ax+b/3x^2+7x+5
[#permalink]
23 Apr 2021, 10:01
23 Apr 2021, 10:01
Expert Reply
1
Bookmarks
00:00
Question Stats:
92% (01:37) correct
7% (04:09) wrong based on 13 sessions
Hide Show timer Statistics
If \(\frac{5x^2+ax+b}{3x^2+7x+5}=x\) and \(3x^3+2x^2-b=0\), where \(x \neq 0\), what is the value of a ?
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Show: :: OA
5
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
If 5x^2+ax+b/3x^2+7x+5
[#permalink]
24 Apr 2021, 08:11
24 Apr 2021, 08:11
1
\(\frac{5x^2+ax+b}{3x^2+7x+5}=x\) & \(3x^3+2x^2-b=0\)
\(b = 3x^3 + 2x^2\)
putting the value of \(b\) in the first equation
\(\frac{5x^2+ax+3x^3 + 2x^2}{3x^2+7x+5}\) = \(x\)
\(3x^3 + 7x^2 + ax\) = \(x(3x^2+7x+5)\) = \(3x^3 + 7x^2 + 5x\)
Comparing both the equation
\(a = 5\)
\(b = 3x^3 + 2x^2\)
putting the value of \(b\) in the first equation
\(\frac{5x^2+ax+3x^3 + 2x^2}{3x^2+7x+5}\) = \(x\)
\(3x^3 + 7x^2 + ax\) = \(x(3x^2+7x+5)\) = \(3x^3 + 7x^2 + 5x\)
Comparing both the equation
\(a = 5\)
gmatclubot
If 5x^2+ax+b/3x^2+7x+5 [#permalink]
24 Apr 2021, 08:11
Moderators:
