Multiple choice

What approximate value will come in place of question mark (?) in the following equation? (88)2 - (33)2 + (5.1)2 - (69)2 = ? + 659.05

  1. 1160

  2. 1260

  3. 1360

  4. 1460

  5. 1560
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

88^2 = 7744, 33^2 = 1089, 5.1^2 approx 26, 69^2 = 4761. Equation: 7744 - 1089 + 26 - 4761 = ? + 659. 1920 = ? + 659. ? = 1261. Closest option is 1260.

AI explanation

Using the difference of squares formula, 88 squared minus 33 squared equals 121 times 55, which is 6655, and 69 squared minus 5.1 squared approximately equals 69 squared. The equation becomes 6655 plus 26 minus 4761 equals question mark plus 659, which simplifies to 1920 equals question mark plus 659. Subtracting 659 from 1920 gives 1261, so the closest approximate value is 1260.

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