Multiple choice

Form the quadratic equation whose roots are: $0$ and $-6$

  1. $x^{2}\, +\, 6\, =\, 0$
  2. $x^{2}\, -\, 6x\, =\, 0$
  3. $x^{2}\, +\, 6x\, =\, 0$
  4. $x^{2}\, -\, 6\, =\, 0$
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C Correct answer
Explanation

Roots are 0 and -6. Sum = -6, Product = 0. Equation: x^2 - (-6)x + 0 = 0, which is x^2 + 6x = 0.

AI explanation

The sum of the roots is 0 + (-6) = -6 and the product of the roots is 0 * (-6) = 0. The required quadratic equation is x^2 - (sum)x + (product) = 0, which gives x^2 - (-6)x + 0 = 0. Simplifying this yields x^2 + 6x = 0.

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