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Rewrite the equation by completing the square. {:[2x^(2)-11 x+14=0],[(x+◻)^(2)=◻]:}

Rewrite the equation by completing the square.\newline2x2−11x+14=02x^{2}-11x+14=0\newline(x+□)2=□(x+\square)^{2}=\square

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Full solution

Q. Rewrite the equation by completing the square.\newline2x2−11x+14=02x^{2}-11x+14=0\newline(x+□)2=□(x+\square)^{2}=\square
  1. Determine total tape needed: First, we need to determine the total amount of electrical tape the electrician needs and the amount of tape on each roll. The electrician needs 8,0008,000 centimeters of electrical tape, and each roll contains 2,0002,000 centimeters of tape.
  2. Calculate number of rolls required: Next, we divide the total amount of tape needed by the amount of tape on each roll to find out how many rolls the electrician should order.\newlineSo, we calculate 8,000 cm÷2,000 cm/roll.8,000 \, \text{cm} \div 2,000 \, \text{cm/roll}.
  3. Order the rolls of tape: Performing the division, we get 8,000 cm÷2,000 cm/roll=4 rolls8,000 \, \text{cm} \div 2,000 \, \text{cm}/\text{roll} = 4 \, \text{rolls}. This means the electrician should order 44 rolls of electrical tape.

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