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ICSE Class 10 Answered

If √2/√3 is a solution of equation 3x^+mx+2=0 , find value of m.
Asked by Shivam1i154 | 24 Mar, 2019, 09:26: PM
answered-by-expert Expert Answer
G i v e n space e q u a t i o n space i s space 3 x squared plus m x plus 2 equals 0 space...... space left parenthesis i right parenthesis fraction numerator square root of 2 over denominator square root of 3 end fraction space i s space a space s o l u t i o n space o f space left parenthesis i right parenthesis comma space s o space i t space s a t i s f i e s space left parenthesis i right parenthesis rightwards double arrow 3 open parentheses fraction numerator square root of 2 over denominator square root of 3 end fraction close parentheses squared plus m open parentheses fraction numerator square root of 2 over denominator square root of 3 end fraction close parentheses plus 2 equals 0 rightwards double arrow 3 cross times 2 over 3 plus m open parentheses fraction numerator square root of 2 over denominator square root of 3 end fraction close parentheses plus 2 equals 0 rightwards double arrow 4 plus fraction numerator square root of 2 over denominator square root of 3 end fraction m equals 0 rightwards double arrow fraction numerator square root of 2 over denominator square root of 3 end fraction m equals negative 4 rightwards double arrow m equals fraction numerator negative 4 cross times square root of 3 over denominator square root of 2 end fraction rightwards double arrow m equals negative 2 square root of 6
Answered by Renu Varma | 25 Mar, 2019, 09:38: AM

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