common-root

Question

The quadratic eqns x^2-6x+a=0 and x^2-cx+6=0.The other roots of the first and second eqns. are integers in the ratio 4:3.Then the common root is ?

Pratik Tibrewal · Accepted Answer

Let the other roots be 4k, 3kThere for the roots of x^2 - 6x + a = 0 would be p, 4k and that of x^2 - cx + 6 = 0 would be p, 3kthere forep + 4k = 6p*3k = 6k = 2/phence: p + 8/p = 6p^2 - 6p + 8 = 0there fore p = 4 or 2Thanks and RegardsPratik Tibrewalaskiitians facultyBTech

Algebra> common-root...

The quadratic eqns x^2-6x+a=0 and x^2-cx+6=0.The other roots of the first and second eqns. are integers in the ratio 4:3.Then the common root is ?

SKS , 11 Years ago

Pratik Tibrewal

SKS

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Algebra> common-root...

The quadratic eqns x^2-6x+a=0 and x^2-cx+6=0.The other roots of the first and second eqns. are integers in the ratio 4:3.Then the common root is ?

SKS , 11 Years ago

Pratik Tibrewal

SKS

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

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