Advertisements
Advertisements
प्रश्न
Find the value of x, if 14x = (47)2 − (33)2.
Advertisements
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)
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the value of x, if 4x = (52)2 − (48)2.
Find the following product: (3x + 5) (3x + 11)
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Evaluate the following by using identities:
10013
By using identity evaluate the following:
`1 + 1/8 - 27/8`
Simplify:
(s2t + tq2)2 – (2stq)2
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
