Solve x^2-4x+10=0 by completing the square.

No real solutions.

Step-by-step explanation:

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

x^2 − 4x + 10 = 0

Step 1: Subtract 10 from both sides.

x^2 − 4x + 10 − 10 = 0 − 10

x^2 − 4x = − 10

Step 2: The coefficient of -4x is -4. Let b=-4.

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

Add 4 to both sides.

x^2− 4x + 4 = −10 + 4

x^2− 4x + 4 = −6

Step 3: Factor left side.

(x−2)^ 2 = −6

Step 4: Take the square root.

x − 2 = ± √−6

Step 5: Add 2 to both sides.

x − 2 + 2 = 2 ± √−6

x = 2 ± √−6

So Therefore The Answer Is:

No real solutions.

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