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The product of the roots of the equation 2x^2 - 4x + 2 = 0 is equal to what?
Practice Questions
Q1
The product of the roots of the equation 2x^2 - 4x + 2 = 0 is equal to what?
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Questions & Step-by-Step Solutions
The product of the roots of the equation 2x^2 - 4x + 2 = 0 is equal to what?
Steps
Concepts
Step 1: Identify the coefficients in the quadratic equation 2x^2 - 4x + 2 = 0. Here, a = 2, b = -4, and c = 2.
Step 2: Recall the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 3: Substitute the values of c and a into the formula. Here, c = 2 and a = 2.
Step 4: Calculate the product of the roots: 2 (value of c) divided by 2 (value of a) equals 1.
Step 5: Conclude that the product of the roots of the equation is 1.
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