Question
If x + y + z = 4, xyz = 6 & x2 +
y2 + z2 = 8 then find the value of x3 + y3 + z3.Solution
We know the identity (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc (4)2 = 8 + 2(xy + yz + zx) (xy + yz + zx) = 8/2 = 4 a3 + b3 + c3 = (a + b + c) (a2 + b2 + c2 – ab – bc – ca) + 3abc So, x3 + y3 + z3 = 4(8 – (4)) + 3(6) = 16 + 18 = 34
The Indigenous Technical Knowledge (ITK) provides insight into:
Properties of ozone was discovered by
India got its first clean street food hub at
Which of the following helps to retain color of meat
The National Policy for Farmers, 2007 was formed on recommendations of National Commission on Farmers, 2006 under the chairmanship of __________
Canopy temperature can be used as a potential indicator for scheduling irrigation to crops. It can be measured by which of the following instrument?
What is the objective of Krishi 24/7, the AI-powered solution developed by DA&FW, Wadhwani AI, and Google.org?
Growing two or more crops on the same piece of land in one year is called
Fruit for making jelly should be rich in
Which of the following soil microorganisms is responsible for fixing atmospheric nitrogen into a usable form for plants?
