Use the discriminant to determine the number of real solutions of the quadratic equation below. $4 x ^ { 2 } + 9 x + 3 = 0$
A)no real solutions
B)three real solutions
C)four real solutions
D)one real solution
E)two real solutions

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $D = b^2 - 4ac$. For the given equation, $a = 4$, $b = 9$, and $c = 3$, so $D = 9^2 - 4(4)(3) = 81 - 48 = 33$. Since $D > 0$, the equation has two real solutions.

Use the Discriminant to Determine the Number of Real Solutions 4x2+9x+3=04 x ^ { 2 } + 9 x + 3 = 04x2+9x+3=0

Use the Discriminant to Determine the Number of Real Solutions $4 x ^ { 2 } + 9 x + 3 = 0$