What are the solutions of x2 - 2x + 5 = 0?

Exact Form:

x = 7/2

Decimal Form:

x = 3.5

Mixed Number Form:

x = 3 1/2

x^2-2x+5=0

first, subtract 5 from both sides to look like:

x^2-2x = - 5

next divide - 2 on both sides to equal:

x^2+x = - 5/-2

x^2+x=2.5 or 2 1/2

You can simplify this to:

2x^2=2.5

Then divide both sides by 2:

x^2=2.5/2

x^2=1.25

finally we get take away the ^2 so we root the number on both sides and get (rounded):

x=1.12