Question

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 1

Answer: it is A.

Explanation:

Answer 2

Option (A)

Explanation:

2x² + 5x - 8 =
`(5)/(2)x + 20`

2(2x² + 5x - 8) =
`2((5)/(2)x+20)`

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.