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If the equation and have a common root, then
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a
a=2,b=−7
b
b=-14
c
a=4
d
none of these
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Correct option is B
Let α be a common root of the two equations. Then2α2−7α+1=0aα2+bα+2=0⇒α2−14−b=αa−4=12b+7a⇒a−42b+7a=b+144−a⇒(7a+2b)(b+14)+(a−4)2=0Clearly, a=4,b=−14 satisfy this equation.Talk to our academic expert!
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