What is the sum of the roots of the equation 2x^2 - 8x + 6 = 0? (2022)

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Question: What is the sum of the roots of the equation 2x^2 - 8x + 6 = 0? (2022)

Options:

Correct Answer: 4

Exam Year: 2022

Solution:

Using Vieta\'s formulas, the sum of the roots is -(-8)/2 = 4.

What is the sum of the roots of the equation 2x^2 - 8x + 6 = 0? (2022)

What is the sum of the roots of the equation 2x^2 - 8x + 6 = 0? (2022)

Step 1: Identify the equation given, which is 2x^2 - 8x + 6 = 0.
Step 2: Recognize that this is a quadratic equation in the form ax^2 + bx + c = 0, where a = 2, b = -8, and c = 6.
Step 3: Recall Vieta's formulas, which state that for a quadratic equation ax^2 + bx + c = 0, the sum of the roots (r1 + r2) is given by -b/a.
Step 4: Substitute the values of b and a into the formula: -(-8)/2.
Step 5: Simplify the expression: -(-8) equals 8, so we have 8/2.
Step 6: Calculate 8/2, which equals 4.
Step 7: Conclude that the sum of the roots of the equation is 4.

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