What will be the value of x in the expression[ 722-282= 50x] ?
2023
What will be the value of x in the expression[ 722-282= 50x] ?
- A.
44
- B.
46
- C.
86
- D.
88
Attempted by 46 students.
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Correct answer: D
Use the difference of squares identity: a^2 − b^2 = (a − b)(a + b).
Apply the identity to 72^2 − 28^2: (72 − 28)(72 + 28) = 50x.
Compute the sums and differences: 72 − 28 = 44 and 72 + 28 = 100.
Multiply: 44 × 100 = 4400, so 4400 = 50x.
Solve for x: x = 4400 ÷ 50 = 88.
Answer: x = 88