Question

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

Answer 1

Answer:

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.