Solve for x in the equation x2 - 3x+41 = 0

no solution

Step-by-step explanation:

Let's solve your equation step-by-step.

x2-3x+41=0

Step 1: Subtract 41 from both sides.

x2-3x+41-41=0-41

x2-3x=-41

Step 2: The coefficient of - 3x is - 3. Let b=-3.

Then we need to add (b/2) ^2=9/4 to both sides to complete the square.

Add 9/4 to both sides.

x2-3x+

9

4

=-41+

9

4

x2-3x+

9

4

=

-155

4

Step 3: Factor left side.

(x

-3

2

) 2=

-155

4

Step 4: Take square root.

x

-3

2

=±√

-155

4

Step 5: Add 3/2 to both sides.

x

-3

2

+

3

2

=

3

2

±√

-155

4

x=

3

2

±√

-155

4

Answer:

No real solutions.