Advertisements
Advertisements
प्रश्न
Find the value of x, if 4x = (52)2 − (48)2.
Advertisements
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)
APPEARS IN
संबंधित प्रश्न
Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Find the following product: (y2 − 4) (y2 − 3)
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
Evaluate the following by using identities:
983
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)2
Expand the following, using suitable identities.
(x + 3)(x + 7)
Expand the following, using suitable identities.
(a2 + b2)2
Using suitable identities, evaluate the following.
(103)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 |
