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What is the discriminant of the equation 2x^2 - 4x + 2 = 0?
What is the discriminant of the equation 2x^2 - 4x + 2 = 0?
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What is the discriminant of the equation 2x^2 - 4x + 2 = 0?
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Discriminant D = b² - 4ac = (-4)² - 4(2)(2) = 16 - 16 = 0.
Questions & Step-by-step Solutions
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Q: What is the discriminant of the equation 2x^2 - 4x + 2 = 0?
Solution:
Discriminant D = b² - 4ac = (-4)² - 4(2)(2) = 16 - 16 = 0.
Steps: 7
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Step 1: Identify the coefficients a, b, and c from the equation 2x^2 - 4x + 2 = 0. Here, a = 2, b = -4, and c = 2.
Step 2: Write the formula for the discriminant, which is D = b² - 4ac.
Step 3: Substitute the values of a, b, and c into the formula. This gives us D = (-4)² - 4(2)(2).
Step 4: Calculate (-4)², which is 16.
Step 5: Calculate 4(2)(2), which is 16.
Step 6: Subtract the two results: 16 - 16 = 0.
Step 7: Conclude that the discriminant D = 0.
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