Suppose a2=5aā8 and b2=5bā8. Then the equation whose roots are ab and ba is
A
6x2−5x+6=0
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B
8x2−9x+8=0
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C
9x2−8x+9=0
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D
8x2+9x+8=0
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Solution
The correct option is B8x2−9x+8=0 From given conditions a,b are the roots of x2−5x+8=0 ⇒a+b=5, ab=8 Required equation is x2−(ab+ba)x+(ab.ba)=0⇒x2−(a+b)2−2ababx+1=0⇒8x2−9x+8=0