Question

What is the discriminant of the quadratic equation 9x squared + -12x + 4 equal 0

Answer 1

0

Explanation:

The general equation is ax^2 + bx + c = 0

and the discriminant is b^2 - 4ac.

For 9x^2 - 12x + 4 = 0, the discriminant is (-12)^2 - 4*9*4

= 144 - 144

= 0

A discriminant of 0 means there is one zero. More accurately since a quadratic equation has to have 2 zeroes the answer is '1 zero Multiplicity 2.'

Answer 2

Discriminant: 0; 1 real solution

Explanation:

To find the discriminant use the formula: b^2 - 4ac.

In this quadratic equation, 9x^2 - 12x + 4 = 0,

• a = 9
• b = -12
• c = 4

Substitute these values into the discriminant equation.

(-12)^2 - 4(9)(4)

Evaluate the exponent and multiply 4 * 9 * 4.

144 - 144

Subtracting these two numbers together gives you 0; the discriminant is 0.

Based on this discriminant you know that there is only 1 real solution to the quadratic equation.