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Mathematics
Guest
17 May, 18:49
Factorize x squared - 1x + 10 = 0
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Donte Arias
17 May, 21:18
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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.
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