Multiple choice

The condition for a general quadratic equation such that its both roots are equal, is

  1. $ b^{2}+4ac= 0$
  2. $ b^{2}-4ac= 0$
  3. $ b^{2}+ac= 0$
  4. $ b^{2}+2ac= 0$
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B Correct answer
Explanation

A quadratic equation ax^2 + bx + c = 0 has equal roots if its discriminant D = b^2 - 4ac is equal to 0.

AI explanation

For a general quadratic equation ax^2 + bx + c = 0, the condition for both roots to be equal is that the discriminant must be zero. The formula for the discriminant is b^2 - 4ac. Therefore, the required condition is b^2 - 4ac = 0.

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