Multiple choice

Form the quadratic equation whose roots are: $-5$ and $9$

  1. $x^{2}\, +\, 4x\, -\, 45\, =\, 0$
  2. $x^{2}\, -\, 14x\, -\, 45\, =\, 0$
  3. $x^{2}\, +\, 14x\, -\, 45\, =\, 0$
  4. $x^{2}\, -\, 4x\, -\, 45\, =\, 0$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A quadratic equation with roots r1 and r2 is given by x^2 - (r1 + r2)x + (r1 * r2) = 0. Here, the sum of roots is -5 + 9 = 4 and the product is -5 * 9 = -45, resulting in x^2 - 4x - 45 = 0.

AI explanation

Calculate the sum of the roots as (-5) + 9 = 4 and the product of the roots as (-5) * 9 = -45. The required quadratic equation is x^2 - (sum)x + (product) = 0, which gives x^2 - 4x - 45 = 0.

Keep practicing — related questions