To find the number of real-number solutions for the equation 9x^2 + 12x + 4 = 0, we can use the discriminant formula:
If the quadratic equation is in the form ax^2 + bx + c = 0, then the discriminant is b^2 - 4ac.
For the equation 9x^2 + 12x + 4 = 0, a = 9, b = 12, and c = 4.
The discriminant is calculated as: b^2 - 4ac = 12^2 - 4*9*4 = 144 - 144 = 0.
If the discriminant is equal to 0, then the equation will have one real solution. Therefore, the answer is:
A. one solution
5. How many real-number solutions does the equation have?
`9x^{2}+12x+4=0`
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
explain answer
1 answer
1 answer