Multiple choice

What will come in place of 'x' in the following questions. Find the approximate value (17.02² – 21.91² + 1794.83) = 39.98 x ?

  1. 48

  2. 36

  3. 52

  4. 40

  5. 44
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D Correct answer
Explanation

Approximating the values: 17^2 = 289, 22^2 = 484. The expression becomes (289 - 484 + 1795) = 1600. Dividing 1600 by 40 gives 40.

AI explanation

Approximating the values gives the equation 17 squared minus 22 squared plus 1795 equals 40 multiplied by x. Using the algebraic identity for the difference of squares, the first two terms become (17 - 22) multiplied by (17 + 22), which equals -5 multiplied by 39 to give -195. The equation becomes -195 + 1795 = 40x, meaning 1600 equals 40x, so x equals 40.

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