My Calculator And Worksheet Say A Solution Is 0.5, But How Do I Get That Answer?

Question

2x² + 4 = 9x

Answer 1

Use the quadratic formula. But first, write the polynomial in standard form.

2x² + 4 = 9x

Standard form:

2x² - 9x + 4 = 0

x = [-b ± √(b² - 4ac)] / (2a)

Plug in

a = 2

b = -9

c = 4

and get solutions of 4 and 1/2.