from the quadratic equation whose roots are 2 and 1/2
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you include repeated or complex roots then yes quadratic equations have two roots. If you don't include repeated or complex roots then no quadratic equations can have up to a maximum of two roots. They might have zero, one or two roots.
α + β = - ba and αβ = ca.
⇒ x2 + bax + ca = 0 (Since, a ≠ 0)
⇒ x2 - (α + β)x + αβ = 0, [Since, α + β = -ba and αβ = ca]
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