Every quadratic equation can have atmost __________ roots.

one

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two

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three

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four

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Solution

The correct option is A two
The characteristic equation of a quadratic equation is
$a x^{2} + b x + c = 0$
Therefore the polynomial $y = a x^{2} + b x + c$ will cut the x axis at maximum of two distinct points for
$y = 0$ or $a x^{2} + b x + c = 0$
Hence a quadratic equation can have maximum of two real roots.

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Every quadratic equation can have atmost __________ roots.

The correct option is A twoThe characteristic equation of a quadratic equation is ax2+bx+c=0Therefore the polynomial y=ax2+bx+c will cut the x axis at maximum of two distinct points for y=0 or ax2+bx+c=0Hence a quadratic equation can have maximum of two real roots.