For the quadratic equation 2x^2 + 4x + 2 = 0, what is the value of the discrimin
Practice Questions
Q1
For the quadratic equation 2x^2 + 4x + 2 = 0, what is the value of the discriminant? (2020)
0
4
8
16
Questions & Step-by-Step Solutions
For the quadratic equation 2x^2 + 4x + 2 = 0, what is the value of the discriminant? (2020)
Step 1: Identify the coefficients a, b, and c from the quadratic 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 = b^2 - 4ac.
Step 3: Substitute the values of a, b, and c into the formula. This means we will calculate 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: Now, subtract the second result from the first: 16 - 16.
Step 7: The result of the subtraction is 0, so the value of the discriminant D is 0.
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.
