If the roots of the equation x2 - bx + c = 5 differ by 5, then which one of the following is correct ?
b2 = 4c + 5
Step 1:
\((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta\)
Step 2:
\(25=b^2-4(c-5)\Rightarrow b^2=4c+5\)
Consider a question and two statements:
Question :
Does the equation ax 2+ bx + c = 0 have real roots of opposite sign?
Statement – I : The discriminant D > 0
Statement – II : c / a > 0
Which one of the following is correct in respect of the question and the statements?
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