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What is the sum of the roots of the equation x^2 - 7x + 10 = 0?
What is the sum of the roots of the equation x^2 - 7x + 10 = 0?
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What is the sum of the roots of the equation x^2 - 7x + 10 = 0?
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The sum of the roots is given by -b/a = 7/1 = 7.
Questions & Step-by-step Solutions
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Q: What is the sum of the roots of the equation x^2 - 7x + 10 = 0?
Solution:
The sum of the roots is given by -b/a = 7/1 = 7.
Steps: 5
Show Steps
Step 1: Identify the coefficients in the quadratic equation x^2 - 7x + 10 = 0. Here, a = 1, b = -7, and c = 10.
Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
Step 3: Substitute the value of b (-7) and a (1) into the formula: -(-7)/1.
Step 4: Simplify the expression: 7/1 = 7.
Step 5: Conclude that the sum of the roots is 7.
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