In the expression 4x^2 - 12x + 9, what is the value of the discriminant?

₹0.0

Question: In the expression 4x^2 - 12x + 9, what is the value of the discriminant?

Options:

Correct Answer: 0

Solution:

The discriminant is b^2 - 4ac = (-12)^2 - 4(4)(9) = 0.

In the expression 4x^2 - 12x + 9, what is the value of the discriminant?

In the expression 4x^2 - 12x + 9, what is the value of the discriminant?

Step 1: Identify the coefficients a, b, and c in the expression 4x^2 - 12x + 9. Here, a = 4, b = -12, and c = 9.
Step 2: Use the formula for the discriminant, which is b^2 - 4ac.
Step 3: Calculate b^2. Since b = -12, we have (-12)^2 = 144.
Step 4: Calculate 4ac. We have 4 * 4 * 9. First, calculate 4 * 4 = 16, then 16 * 9 = 144.
Step 5: Substitute the values into the discriminant formula: 144 - 144.
Step 6: Perform the subtraction: 144 - 144 = 0.
Step 7: Conclude that the value of the discriminant is 0.

Quadratic Formula – The discriminant is part of the quadratic formula, used to determine the nature of the roots of a quadratic equation.
Discriminant Calculation – The discriminant is calculated using the formula b^2 - 4ac, where a, b, and c are coefficients from the quadratic equation ax^2 + bx + c.