Answer:
no solution exists:
Step-by-step explanation:
x²−1x+10=0
Step 1: Simplify both sides of the equation.
x²−x+10=0
Step 2: Subtract 10 from both sides.
x²−x+10−10=0−10
x²−x=−10
Step 3: The coefficient of -x is -1. Let b=-1.
Then we need to add (b/2)^2=1/4 to both sides to complete the square.
Add 1/4 to both sides.
x²−x+
1/4=−10+
1/4
x²−x+
1/4=−39
/4
Step 4: Factor left side.
(x -1/2)² = −39
/4
Step 5: Take square root.
x −1
/2 =±√
−39
/4
Step 6: Add 1/2 to both sides.
x =−1/2 + 1/2 = 1/2 ±√
-39/4
x = 1/2 ±√
-39/4
No real solutions.
