. What are the solutions of the given quadratic graph?
A. -3 and -5 B. 4 and -1 C. 3 and 5 D. none

Given:

Given that the graph of the quadratic function.

We need to determine the solution of the quadratic function.

Solution:

The solution of the quadratic function in the graph is the point at which the graph meets x - axis when y = 0.

In other words, the solution of the quadratic function are the values of the x - intercepts of the graph.

Thus, from the given graph, it is obvious, when y = 0, the values of x are

Thus, the x - intercepts of the quadratic function are (3,0) and (5,0).

Therefore, the solutions of the quadratic graph are 3 and 5.

Hence, Option C is the correct answer.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15