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Mathematics

If the discriminant of quadratic equation ax2 + bx + c = 0 is equal to zero, then the two equal roots are :

  1. b2a and b2a\dfrac{b}{2a} \text{ and } \dfrac{b}{2a}

  2. −b2a and −b2a-\dfrac{b}{2a} \text{ and } -\dfrac{b}{2a}

  3. a2b and a2b\dfrac{a}{2b} \text{ and } \dfrac{a}{2b}

  4. −a2b and −a2b-\dfrac{a}{2b} \text{ and } -\dfrac{a}{2b}

Quadratic Equations

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Answer

By formula,

x = −b±b2−4ac2a\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Given,

D = 0

∴ x = −b±02a=−b2a\dfrac{-b \pm \sqrt{0}}{2a} = -\dfrac{b}{2a}.

Hence, Option 2 is the correct option.

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