Question
x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz
=4, then find the value of x 3 + y 3 + z 3 – 3xyz.Solution
Since, x 3 + y 3 + z 3 – 3xyz = (x + y + x){(x + y + z) 2 – 3(xy + yz + zx)}
So, x + y + z = (4 + 5 + 6)/2 = 15/2
x 3 + y 3 + z 3 – 3xyz = (15/2) × {225/4 – 3 × 9} = 15/2 × 117/4 = 1755/8
Which one of the following crops requires highest amount of calcium?
The function of IMF includes: (i) Granting reconstruction loans to the war-devastated country (ii) Provides financial assistance to the member nations (...
Molya disease of wheat is caused by ________:
Which type of mould board is primarily used in grassy lands?
Which instrument is used to measure humidity?
Which among the following crops can be considered as is a C4 plant?
Which legume crop is best suited as a summer catch crop in northern India after harvest of wheat to utilize residual moisture?
Demand of a commodity for different uses is called ___
Family of Sarpagandha (Rouvolfia serpentiana) and its use/property are
First product of urea hydrolysis in soil is