What is the discriminant for $4 x^{2}-12 x+9=0$ ? How many and what type of solutions does this equation have?
A) Discriminant: 64; Two rational solutions
B) Discriminant: 63; Two irrational solutions
C) Discriminant: 0; One rational solution
D) Discriminant: -64; Two nonreal complex solutions

Question

Quizplus · Accepted Answer

The discriminant for the quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For $4x^2 - 12x + 9 = 0$, $a = 4$, $b = -12$, and $c = 9$. The discriminant is $(-12)^2 - 4(4)(9) = 144 - 144 = 0$. A discriminant of 0 indicates one rational solution.

What Is the Discriminant For 4x2−12x+9=04 x^{2}-12 x+9=04x2−12x+9=0 ? How Many and What Type of Solutions Does This

What Is the Discriminant For $4 x^{2}-12 x+9=0$ ? How Many and What Type of Solutions Does This