CBSE Class 9 Answered
In a quadratic equation
xsquare +kx +1= 0 ,find range of k for which both roots are
A) positive
B) negative
C) one positive and one negative
Asked by tanishq gupta | 12 Aug, 2012, 07:33: PM
Expert Answer
Given quadratic equation is x2 + kx + 1 = 0
Sum of roots = -k
Product of roots = 1
A) When both roots are positive, the sum as well as the product is positive.
So, we have:
-k > 0, i.e., k < 0
B) When both roots are negative, the sum is negative but the product is positive.
So, we have:
-k < 0, i.e., k > 0
Note: For the third case, we would request you to cross- check and clarify the condition again as there seems some problem in that.
Answered by | 12 Aug, 2012, 09:52: PM
Application Videos
-
Algebraic Identities: Quadratic
This video contains a question which is solved using square of binomials -
Factorisation using Square identity
This video explains factorisation using square identity -
Factor Theorem 1
This video contains a question which is solved using Factor theorem -
Factor Theorem 2
This video explain an application based problem on Factor theorem. -
Remainder Theorem
This video contains a question which is solved using Remainder theorem
Concept Videos
-
Introduction to Polynomials
This video explains the definition of polynomial and related terms, identif... -
Remainder Theorem
Discuss various algebraic operations on Polynomials. Learn the statement a... -
Factorisation: Factor Theorem
This video explains the factorization of polynomials using Factor Theorem a... -
Algebraic Identities: Quadratic
Understand the Algebraic identities for quadratic Polynomials. Apply the i... -
Algebraic Identities: Cubic Type
Listing of algebraic identities for cubic Polynomials and simplify the comp...
CBSE 9 - Maths
Asked by durgavenkatlakshmi1 | 20 Mar, 2024, 03:56: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by ammudeep0123 | 20 Mar, 2024, 07:13: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by jaswanthsompi12345 | 19 Dec, 2023, 06:54: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by rizwanmunna406 | 12 Dec, 2023, 10:09: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by sathishdoddamudigere2 | 01 Nov, 2023, 06:53: PM
ANSWERED BY EXPERTCBSE 9 - Maths
Asked by shambhushanker123 | 29 Oct, 2023, 08:36: PM
ANSWERED BY EXPERT
