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If x2 + a x + b is a perfect square, then which one of the following relations between a and b is true?
- Ab2 = 4a
- Bb2 = a
- Ca2 = b
- Da2 = 4b
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CCommunity
⇒ x2 + a x + b is a perfect square so to make it a perfect square
⇒ x2 + 2 × x × √b + (√b)2 = ( x + √b)2
⇒ Here 2 x √b should be equal to a x in order to make it a perfect square
⇒ 2 x √b = a x
⇒ 2√b = a
∴ a2 = 4b is the relation between a and b
⇒ x2 + 2 × x × √b + (√b)2 = ( x + √b)2
⇒ Here 2 x √b should be equal to a x in order to make it a perfect square
⇒ 2 x √b = a x
⇒ 2√b = a
∴ a2 = 4b is the relation between a and b