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3 votes
Factorize x squared - 1x +10 =0

1 Answer

5 votes

Answer:

no solution exists:

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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