Find the Discriminant 4x^2-12x+9=0

Problem

4*x2−12*x+9=0

Solution

1. Identify the coefficients a b and c from the quadratic equation in the form a*x2+b*x+c=0

a=4

b=−12

c=9

2. State the formula for the discriminant D

D=b2−4*a*c

3. Substitute the values of a b and c into the formula.

D=(−12)2−4*(4)*(9)

4. Calculate the square of b and the product of 4*a*c

D=144−144

5. Subtract the values to find the final result.

D=0

Final Answer

b2−4*a*c=0

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