Factorize x squared - 1x + 10 = 0

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.