Answer:
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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