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प्रश्न
Find the value of x, if 4x = (52)2 − (48)2.
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उत्तर
Let us consider the following equation: \[4x = \left( 52 \right)^2 - \left( 48 \right)^2\]
Using the identity \[\left( a + b \right)\left( a - b \right) = a^2 - b^2\],we get:
\[4x = \left( 52 \right)^2 - \left( 48 \right)^2 \]
\[4x = \left( 52 + 48 \right)\left( 52 - 48 \right)\]
\[4x = 100 \times 4 = 400\]
\[\Rightarrow 4x = 400\]
\[\Rightarrow x = 100\] (Dividing both sides by 4)
संबंधित प्रश्न
Find the following product: (x − 11) (x + 4)
Find the following product: \[\left( z + \frac{3}{4} \right)\left( z + \frac{4}{3} \right)\]
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Simplify:
(x2 – 4) + (x2 + 4) + 16
Simplify:
(pq – qr)2 + 4pq2r
Simplify:
(s2t + tq2)2 – (2stq)2
Expand the following, using suitable identities.
`((2x)/3 - 2/3)((2x)/3 + (2a)/3)`
Using suitable identities, evaluate the following.
(103)2
Using suitable identities, evaluate the following.
(995)2
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 |
