Solve g (-1) = x^2-5x+2

x = 5/2 + sqrt (17) / 2 or x = 5/2 - sqrt (17) / 2

Step-by-step explanation:

Solve for x:

x^2 - 5 x + 2 = 0

Subtract 2 from both sides:

x^2 - 5 x = - 2

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = 17/4

Write the left hand side as a square:

(x - 5/2) ^2 = 17/4

Take the square root of both sides:

x - 5/2 = sqrt (17) / 2 or x - 5/2 = - sqrt (17) / 2

Add 5/2 to both sides:

x = 5/2 + sqrt (17) / 2 or x - 5/2 = - sqrt (17) / 2

Add 5/2 to both sides:

Answer: x = 5/2 + sqrt (17) / 2 or x = 5/2 - sqrt (17) / 2