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Quantitative Aptitude

Quadratic Equations

How to determ...

Question

How to determine quadratic equations have one root common or bothroots are common?

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Q. The quadratic equations

x^{2} - 6 x + a = 0,

x^{2} - c x + 6 = 0

have one root in common. The other roots of the first and second equations are integers in the ratio

4 : 3

. Then common root is :

Q. The quadratic equation x²-6x+a=0 and x²-cx+6=0 have one root in common. The other roots of the first and second equations are integers in 4:3, then find the common root.

Q. The quadratic equations

x^{2} - 6 x + a = 0,

x^{2} - c x + 6 = 0

have one root in common. The other roots of the first and second equations are integers in the ratio

4 : 3

. Then common root is :

Q. The quadratic equations

x^{2} - 6 x + a = 0

x^{2} - c x + 6 = 0

have one root in common. The other roots of the first and second equations are integers in the ratio

4 : 3

respectively. Then, the common root is

Q. How many roots can be common between two Quadratic Equations?

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