Given the trinomial 5x^2- 2x-3, predict the type of solutions

Two distinct real roots.

Step-by-step explanation:

Given a quadratic equation , we can predict the type of solution by calculating the Discriminant (D):

Identify a, b and c from .

Substitute into the formula of the Discriminant. Then:

The discriminant obtained is greater than zero.

When the type of solution is: two distinct real roots.

ANSWER

The given trinomial will have two distinct real solutionss.

EXPLANATION

The given trinomial is

When we compare to

, we have a=5, b=-2, c=-3

The discriminant of a quadratic trinomial helps us to predict the nature of the roots of a quadratic trinomial without necessarily solving for them.

We now use the discriminant

D=b²-4ac

to obtain,

Since the discriminant is positive, the trinomial will have two distinct real solutions.

i can answer this question sweetie!

step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.