Multiple choice

Find the quadratic equation with roots -1 and +3.

  1. x2 + 2x - 3 = 0

  2. x2 - 2x - 3 = 0

  3. x2 - 3x + 5 = 0

  4. None of these
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B Correct answer
Explanation

Equation with roots r1, r2 is x^2 - (r1+r2)x + (r1*r2) = 0. Roots are -1 and 3. Sum = 2, Product = -3. Equation: x^2 - 2x - 3 = 0.

AI explanation

Using the formula for forming a quadratic equation from its roots, x2 - (sum of roots)x + (product of roots) = 0. The sum of the roots -1 and 3 is 2, and their product is -3. Substituting these values gives x2 - (2)x + (-3) = 0, which simplifies to x2 - 2x - 3 = 0. The result is x2 - 2x - 3 = 0.

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