Question: The sum of the roots of the quadratic equation 2x^2 - 8x + 6 = 0 is equal to what? (2020)
Options:
2
4
6
8
Correct Answer: 4
Exam Year: 2020
Solution:
The sum of the roots is given by -b/a = 8/2 = 4.
The sum of the roots of the quadratic equation 2x^2 - 8x + 6 = 0 is equal to wha
Practice Questions
Q1
The sum of the roots of the quadratic equation 2x^2 - 8x + 6 = 0 is equal to what? (2020)
2
4
6
8
Questions & Step-by-Step Solutions
The sum of the roots of the quadratic equation 2x^2 - 8x + 6 = 0 is equal to what? (2020)
Step 1: Identify the coefficients of the quadratic equation. The equation is 2x^2 - 8x + 6 = 0. Here, a = 2, b = -8, and c = 6.
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 into the formula. Since b = -8, we have -(-8)/2.
Step 4: Simplify the expression. This becomes 8/2.
Step 5: Calculate the result. 8 divided by 2 equals 4.
Step 6: Conclude that the sum of the roots of the quadratic equation is 4.
Sum of Roots of Quadratic Equations – The sum of the roots of a quadratic equation in the form ax^2 + bx + c = 0 can be calculated using the formula -b/a.
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