I want to ask few questions

Asked by parmodgulati | 6th Feb, 2014, 05:36: PM

Expert Answer:

2. Consider the equation x squared plus 4 x plus 4 equals 2 x plus 3
rightwards double arrow open parentheses x plus 2 close parentheses squared equals 2 x plus 3 rightwards double arrow plus-or-minus open parentheses x plus 2 close parentheses equals 2 x plus 3 rightwards double arrow x plus 2 equals 2 x plus 3 space o r space minus open parentheses x plus 2 close parentheses equals 2 x plus 3 rightwards double arrow 2 x minus x plus 3 minus 2 equals 0 space o r space 2 x plus x plus 3 plus 2 equals 0 rightwards double arrow x plus 1 equals 0 space o r space 3 x plus 5 equals 0 rightwards double arrow x equals minus 1 space o r space x equals fraction numerator minus 5 over denominator 3 end fraction
Thus the given equation has two roots
 
 
3. Consider the equation
 
a d squared x open parentheses fraction numerator a over denominator b x end fraction plus fraction numerator 2 c over denominator d end fraction close parentheses plus c squared b equals 0 rightwards double arrow a d squared x open parentheses fraction numerator a d plus 2 c x over denominator b x d end fraction close parentheses plus c squared b equals 0 rightwards double arrow a d x open parentheses a d plus 2 c x close parentheses plus c squared b x equals 0 rightwards double arrow a d open parentheses a d plus 2 c x close parentheses equals minus c squared b rightwards double arrow a squared d squared plus 2 a c d x equals minus c squared b rightwards double arrow 2 a c d x equals minus c squared b minus a squared d squared rightwards double arrow x equals fraction numerator minus c squared b minus a squared d squared over denominator 2 a c d end fraction
4. Let the age of her daughter is x
Then Asha's age is x2 +2
Given that
x squared plus 2 equals 10 x minus 1 rightwards double arrow x squared minus 10 x plus 3 equals 0 rightwards double arrow x equals fraction numerator 10 plus-or-minus square root of 100 minus 4 cross times 12 end root over denominator 2 end fraction rightwards double arrow x equals fraction numerator 10 plus-or-minus square root of 52 over denominator 2 end fraction rightwards double arrow x equals 5 plus-or-minus square root of 13
This should be an integral number. Please check your question.
 
Please post one question per query.

Answered by  | 7th Feb, 2014, 10:22: AM

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