Solve the equation 2x^2 + 5x – 8 = 5/2x + 20 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. Round to the nearest tenth.

Answer:
Option (A)
Step-by-step explanation:
2x² + 5x - 8 = [tex]\frac{5}{2}x + 20[/tex]
2(2x² + 5x - 8) = [tex]2(\frac{5}{2}x+20)[/tex]
4x² + 10x - 16 = 5x + 40
4x² + 10x - 5x - 16 - 40 = 0
4x² + 5x - 56 = 0
By using graphing calculator,
x - intercepts are,
x = -4.4 and x = 3.2
Therefore, Option (A) will be the correct option.