what is the discriminant of the quadratic equation 9x squared + -12x + 4 equal 0
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Answer:
Discriminant: 0; 1 real solution
Step-by-step explanation:
To find the discriminant use the formula: b^2 - 4ac.
In this quadratic equation, 9x^2 - 12x + 4 = 0,
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.
Answer:
0
Step-by-step 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.'