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 (3x + 7)2 − 84x = (3x − 7)2
Find the following product: \[\left( z + \frac{3}{4} \right)\left( z + \frac{4}{3} \right)\]
Evaluate the following: 109 × 107
Expand the following:
(−p + 2q + 3r)2
By using identity evaluate the following:
`1 + 1/8 - 27/8`
On dividing p(4p2 – 16) by 4p(p – 2), we get ______.
Simplify:
(3x + 2y)2 + (3x – 2y)2
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Expand the following, using suitable identities.
(x + 3)(x + 7)
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
