Let a,b,c and d be non-zero numbers such that x=c and x=d are the roots of the equation x2+ax+b=0 and x=a and x=b are the roots of the equation x2+cx+d=0. Then
A
a+b+c+d=−2
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B
ac=bd
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C
ac+bd=5
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D
a2+b2+c2+d2=2(b2+d2)a2+c2
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Solution
The correct option is Cac+bd=5 x2+ax+b=0
Roots are c and d
Then c+d=−a and cd=b