solve 2x^2=5x+3 what type of function is it and what are its zeros?

-2x^2+5x+3=0

x=3

x=-1/2

Quadratic Function

If you get everything on one side you have:

2x² - 5x + 3 = 0

That's a second degree polynomial also called a "quadratic".

To solve, you can just factor that as:

(2x + 1)(x - 3) = 0

That leads to two zeros:

2x + 1 = 0

2x = -1

x = -1/2

or

x - 3 = 0

x = 3

Answer:

x = -1/2 or x = 3

2x² = 5x+3

2x² - 5x - 3 = 0

Use quadratic formula to find the zeros.

x = [5 ± √(5² – 4·2(-3))] / [2·2]

 = [5 ± √49] / 4

 = [5 ± 7] /4

 = -0.5, 3

If you move everything to the left hand side it is a quadratic

2x^2- 5 - 3 = 0

and the solutions are

3 and - 1/2