Find the sum of the solutions to the equation x2 + 2x – 15 = 0.
Question
Find the sum of the solutions to the equation x2 + 2x – 15 = 0.
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Solution
Step 1: Identify the coefficients in the quadratic equation. In the equation x^2 + 2x - 15 = 0, the coefficients are a = 1, b = 2, and c = -15.
Step 2: The sum of the solutions of a quadratic equation is given by the formula -b/a.
Step 3: Substitute the values of a and b into the formula. In this case, a = 1 and b = 2, so the sum of the solutions is -b/a = -2/1 = -2.
So, the sum of the solutions to the equation x^2 + 2x - 15 = 0 is -2.
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