QUADRATICS IIT PAST QS.....

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1. √x+1 - √x-1=√4x-1 has

a. no soln b. 1 soln c. 2 soln d.more than 2 soln

PLEASE SOLVE THE EQUATION

2. Let a,b,c,p,q be real nos.Suppose m,n are thw roots of the equation x²+2px+q=0 and m,1/n are the roots of ax²+2bx+c=0 where n² DOES NOT BELONG TO {-1,0,1}

PROVE THAT bâ‰ pa and câ‰ qa.

#Mathematics #Algebra

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6 Answers

Vivek @ Born this Way ·2010-12-03 08:55:23

1. no solution..?

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swordfish ·2010-12-03 13:24:01

1.
I solved it.
The answer is one solution and x=5/4

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Euclid ·2010-12-03 16:52:00

@swordfish, but x=5/4 doesnt satisfy the equation...it is an extraneous solution as u must have squared the equation....

so no solution

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scintillating dev ·2010-12-03 20:07:17

@Euclid: how did u please solve it without squaring? please show...

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1708

man111 singh ·2010-12-03 20:10:58

$(Given by hsbhatt Sir).

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Vivek @ Born this Way ·2010-12-03 23:59:02

i too had reasoned the same..

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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QUADRATICS IIT PAST QS.....

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