Multiple choice

Form the quadratic equation if its roots are: $0\,\,and\,\,-4$

  1. $x^2\,+\,x\,=\,0$
  2. $x^2\,+\,4x\,=\,0$
  3. $x^2\,+\,2x\,=\,0$
  4. $x^2\,+\,6x\,=\,0$
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B Correct answer
Explanation

If roots are r1 and r2, the equation is x^2 - (r1+r2)x + r1*r2 = 0. Here r1=0, r2=-4. Sum = -4, Product = 0. Equation: x^2 - (-4)x + 0 = 0, which is x^2 + 4x = 0.

AI explanation

Using the formula for forming a quadratic equation from its roots, x squared minus the sum of the roots times x plus the product of the roots equals zero. The sum of the roots 0 and -4 is -4, and their product is 0. Substituting these values gives x squared plus 4x equals 0.

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