What is the nature of the roots of the quadratic equation $a x^{2} + b x + c = 0$ if
(a) $b^{2} - 4 a c = 0$
(b) $b^{2} - 4 a c < 0$

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Solution

(a) If $b^{2} - 4 a c = 0$ , then roots are equal.
(b) If $b^{2} - 4 a c < 0$ , then roots are complex or imaginary.

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What is the nature of the roots of the quadratic equation ax2+bx+c=0 if(a) b2−4ac=0(b) b2−4ac<0

(a) If b2−4ac=0, then roots are equal.(b) If b2−4ac<0, then roots are complex or imaginary.

What is the nature of the roots of the quadratic equation $a x^{2} + b x + c = 0$ if
(a) $b^{2} - 4 a c = 0$
(b) $b^{2} - 4 a c < 0$

(a) If $b^{2} - 4 a c = 0$ , then roots are equal.
(b) If $b^{2} - 4 a c < 0$ , then roots are complex or imaginary.