How can you make sure your solution is correct in a quadratic formula

Question

Mathematics

Bianca Hurley

6 January, 07:09

How can you make sure your solution is correct in a quadratic formula

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Answers (1)

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London Monroe · Answer 1

Write the quadratic equation and the roots that you calculated. For example, let the equation be x² + 3x + 2 = 0, and the roots be - 1 and - 2.

Substitute the first root into equation and solve. For this example, substituting - 1 into x² + 3x + 2 = 0 results in (-1) ² + 3 (-1) + 2 = 0, which becomes 1 - 3 + 2 = 0, which is 0 = 0. The first root, or answer, is correct, since you get 0 when you replace the variable "x" with - 1.

Substitute the second root into the equation and solve. Substituting - 2 into x² + 3x + 2 = 0 results in (-2) ² + 3 (-2) + 2 = 0, which becomes 4 - 6 + 2 = 0, which is 0 = 0. The second root, or answer, is also correct, since you get 0 when you replace the variable "x" with - 2.