Question

How many, and what type of, solutions does y=x^2−8x+2 have?

Answer 1

Answer:

The answer to your question is 2 rational solutions.

Step-by-step explanation:

Equation

                  y = x² - 8x + 2

Solve using the general formula

                 x = [8 ± √(-8)² - 4(1)(2)] / 2(1)

Simplification

                 x = [8 ± √64 - 8] / 2

                 x = [8 ± √56] / 2

                 x = [8 ± 2√14]2

                 x₁ = 4 + √14                     x₂ = 4 - √14

As  √14 is positive, we conclude that the equation has two rational solutions.