Multiple choice

If sum of the roots of a quadratic equation is 1 and product of the roots is -20, then find the quadratic equation.

  1. x2 - x - 20 = 0

  2. x + x + 20 = 0

  3. x2 + x - 20 = 0

  4. x2 - x + 20 = 0
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A Correct answer
Explanation

A quadratic equation with sum of roots S and product of roots P is given by x^2 - Sx + P = 0. Substituting S=1 and P=-20, we get x^2 - x - 20 = 0.

AI explanation

For a standard quadratic equation ax squared plus bx plus c equals 0, the sum of the roots is negative b divided by a and the product is c divided by a. Given a sum of 1 and a product of negative 20, we can form the equation x squared minus (sum)x plus product equals 0. Substituting the values gives the quadratic equation x squared minus x minus 20 equals 0.

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