Multiple choice

Form the quadratic equation whose roots are: $3$ and $10$

  1. $x^{2}\, -\, 30x\, +\, 13\, =\, 0$
  2. $x^{2}\, +\, 13x\, +\, 30\, =\, 0$
  3. $x^{2}\, -\, 13x\, +\, 30\, =\, 0$
  4. $x^{2}\, +\, 30x\, +\, 13\, =\, 0$
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C Correct answer
Explanation

Roots are 3 and 10. Sum = 13. Product = 30. Equation is x^2 - (sum)x + product = 0. x^2 - 13x + 30 = 0.

AI explanation

Using the formula x squared minus the sum of the roots times x plus the product of the roots equals zero, substitute the given roots 3 and 10. The sum is 13 and the product is 30. This gives the quadratic equation x squared minus 13x plus 30 equals 0.

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