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The sum of the roots of the quadratic equation x^2 - 7x + 10 = 0 is:
The sum of the roots of the quadratic equation x^2 - 7x + 10 = 0 is:
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Practice Questions
1 question
Q1
The sum of the roots of the quadratic equation x^2 - 7x + 10 = 0 is:
10
7
5
3
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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
Q: The sum of the roots of the quadratic equation x^2 - 7x + 10 = 0 is:
Solution:
The sum of the roots is given by -b/a = 7/1 = 7.
Steps: 6
Show Steps
Step 1: Identify the coefficients of the quadratic equation. The equation is 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 values of b and a into the formula. We have -(-7)/1.
Step 4: Simplify the expression. This becomes 7/1.
Step 5: Calculate the result. 7/1 equals 7.
Step 6: Conclude that the sum of the roots of the quadratic equation is 7.
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