Relation between Roots and Coefficients for Quadratic
If the equati...
Question
If the equations x2−11x+a=0 & x2−14x+2a=0 have a common root, then value of a equals
A
0,24
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B
0,1
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C
3,2
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D
None of these
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Solution
The correct option is A0,24 x2−14x+2a=0 x2−11x+a=0 Subtracting second equation from first, we get x(−14+11)+a=0 x(−3)=−a x=a3 which is the common root Substituting, we get a29−11a3+a=0 a(a9−113+1)=0 Hence, a=0 or a9−83=0 a=24.