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

Step-by-step explanation:

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

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

5

step-by-step explanation: