Advertisements
Advertisements
प्रश्न
If a2 + b2 = 74 and ab = 35, then find a + b.
Advertisements
उत्तर
Given, a2 + b2 = 74 and ab = 35
Since, (a + b)2 = a2 + b2 + 2ab ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
∴ (a + b)2 = 74 + 2 × 35
⇒ (a + b)2 = 144
⇒ `a + b = sqrt(144)` ...[Taking square root]
⇒ a + b = 12 ...[Rejecting – ve sign]
APPEARS IN
संबंधित प्रश्न
Use a suitable identity to get the following products.
(1.1m − 0.4) (1.1 m + 0.4)
Simplify (4m + 5n)2 + (5m + 4n)2
Use the formula to find the value.
54 × 46
Evaluate the following, using suitable identity
512
Evaluate the following, using suitable identity
1032
Factorise the following using suitable identity
y2 + 20y + 100
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x4 + 12x3 + 9x2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
`x^2/4 + 2x + 4`
The area of a circle is given by the expression πx2 + 6πx + 9π. Find the radius of the circle.
The cost of a chocolate is Rs (x + y) and Rohit bought (x + y) chocolates. Find the total amount paid by him in terms of x. If x = 10, find the amount paid by him.
