Linear, quadratic, cubic equations, roots of equations. Algebra IIM CAT, XAT Quant sample Questions : CAT, MBA Entrance Test Questions

Ascent Education - TANCET, MBA Entrance Training Classes
 
Latest News LATEST NEWS
Ascent Success Stories
TANCET 16 Classes @ ChennaiXAT 16 Classes @ Chennai
Connector
Ascent's Courses
 
Contact Us
+91 44 4500 8484
+91 96000 48484
You are here: Home » CAT Math » Algebra » Co-efficient of quadratic equation

Quadratic Equation - CAT 2016 Math Preparation

Question 4 the day : March 2, 2004
The question for the day is a sample practice problem in quadratic equation. Helps understand concepts related to roots of a quadratic equation and the nature of the roots of the quadratic equation. The question for the day is on finding a missing co-efficient from the topic quadratic equation..

Question
If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?
  1. -22.5
  2. 16
  3. -10.5
  4. -17.5
Correct Answer is -17.5. Correct Choice is (4)

Explanatory Answer

We know that the product of the roots of a quadratic equation ax2 + bx + c = 0 is

In the given equation, x2 + mx + 24 = 0, the product of the roots = = 24.
The question states that one of the roots of this equation = 1.5.
If x1 and x2 are the roots of the given quadratic equation and let x1 = 1.5.
Therefore, x2 == 16.
In the given equation, m is the co-efficient of the x term.
We know that the sum of the roots of the quadratic equation ax2 + bx + c = 0 is = -m
Sum of the roots = 16 + 1. 5 = 17 = -17.5.
Therefore, the value of m = -17.5


More Questions on Linear, Quadratic and Cubic Equations - Algebra

XLRI XAT TANCET Practice Question Samples



 
Quick Links
TANCET Questionbank  
TANCET MBA MCA Practice Questions with detailed explanation and shortcuts. TANCET Sample Questions

GMAT Math Books  
Comprehensive study material for GMAT Quant. 1800+ questions. GMAT Quant Books

Staying outside India?  
Ascent offers CAT Correspondence Course for those who reside abroad. CAT Correspondence Outside India

TANCET Diagnostic Test  
Free Online TANCET diagnostic test with video explanation. TANCET Diagnostic Test

CAT GDPI Course  
Group Discussion and Personal Interview training for IIMs and other top B schools. CAT GD, PI Course

GMAT Math Lesson Book | SAT prep | GRE Classes @ Chennai | GMAT Coaching @ Chennai | TANCET Mailing List
© 2002 - 17 ASCENT Education all rights reserved. Terms & Condition | Privacy Policy