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प्रश्न
Find the value of x, if 5x = (50)2 − (40)2.
उत्तर
Let us consider the following equation: \[5x = \left( 50 \right)^2 - \left( 40 \right)^2\]
Using the identity \[\left( a + b \right)\left( a - b \right) = a^2 - b^2\], we get:
\[5x = \left( 50 \right)^2 - \left( 40 \right)^2 \]
\[5x = \left( 50 + 40 \right)\left( 50 - 40 \right)\]
\[5x = 90 \times 10 = 900\]
\[\Rightarrow 5x = 900\]
\[\Rightarrow x = 180\] (Dividing both sides by 5)
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