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प्रश्न
Find the value of x, if 14x = (47)2 − (33)2.
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उत्तर
Let us consider the following equation: \[14x = \left( 47 \right)^2 - \left( 33 \right)^2\]
Using the identity \[\left( a + b \right)\left( a - b \right) = a^2 - b^2\],we get:
\[14x = \left( 47 \right)^2 - \left( 33 \right)^2 \]
\[14x = \left( 47 + 33 \right)\left( 47 - 33 \right)\]
\[14x = 80 \times 14 = 1120\]
\[\Rightarrow 14x = 1120\]
\[\Rightarrow x = 80\]
(Dividing both sides by 14)
संबंधित प्रश्न
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(x2y – xy2)2
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`(4/5p + 5/3q)^2`
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Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
