Question: For the quadratic equation 2x^2 - 8x + 6 = 0, what is the value of the discriminant?
Options:
4
16
8
0
Correct Answer: 4
Solution:
The discriminant D = b^2 - 4ac = (-8)^2 - 4*2*6 = 64 - 48 = 16.
For the quadratic equation 2x^2 - 8x + 6 = 0, what is the value of the discrimin
Practice Questions
Q1
For the quadratic equation 2x^2 - 8x + 6 = 0, what is the value of the discriminant?
4
16
8
0
Questions & Step-by-Step Solutions
For the quadratic equation 2x^2 - 8x + 6 = 0, what is the value of the discriminant?
Step 1: Identify the coefficients a, b, and c from the quadratic equation 2x^2 - 8x + 6 = 0. Here, a = 2, b = -8, and c = 6.
Step 2: Write the formula for the discriminant, which is D = b^2 - 4ac.
Step 3: Substitute the values of a, b, and c into the formula. This gives us D = (-8)^2 - 4 * 2 * 6.
Step 4: Calculate (-8)^2, which is 64.
Step 5: Calculate 4 * 2 * 6, which is 48.
Step 6: Subtract 48 from 64 to find the discriminant: 64 - 48 = 16.
Discriminant of a Quadratic Equation – The discriminant is a value that determines the nature of the roots of a quadratic equation, calculated using the formula D = b^2 - 4ac.
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