What is the value of x in the equation 72² − 28² = 50x?
2023
What is the value of x in the equation 72² − 28² = 50x?
- A.
44
- B.
46
- C.
86
- D.
88
Attempted by 221 students.
Show answer & explanation
Correct answer: D
Correct answer: 88.
Use the difference of squares identity: a² − b² = (a − b)(a + b).
72² − 28² = (72 − 28)(72 + 28).
= 44 × 100 = 4400.
So 50x = 4400.
x = 4400 ÷ 50 = 88.
Therefore, x = 88.