Advertisements
Advertisements
प्रश्न
If a + b + c = 9 and ab + bc + ca = 40, find a2 + b2 +c2.
उत्तर
Recall the formula
`(a+b+c)^2 = a^2 +b^2 +c^2 +2(ab +bc+ca)`
Given that
`(a+b+c) = 9,ab + bc + ca = 40`,
Then we have
`(a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)`
` ( 9)^2 = a^2 + b^2 + c^2 + 2.( 40) `
`a^2 ++ b^2 + c^2 + 80 = 81`
`a^2 + b^2 + c^2 = 81 - 80
`a^2 + b^2 +c^2 =` 1
APPEARS IN
संबंधित प्रश्न
Factorize x (x3 - y3 ) + 3xy ( x - y )
Factorize `5sqrt5x^2 + 20x + 3sqrt5`
(a – 3b)3 + (3b – c)3 + (c – a)3
27x3 − y3 − z3 − 9xyz
If a + b + c = 0, then write the value of a3 + b3 + c3.
Divide: 8m - 16 by - 8
Divide: 2m3n5 by - mn
Write the coefficient of x2 and x in the following polynomials
πx2 – x + 2
Write the variables, constant and terms of the following expression
7p – 4q + 5
Rohan's mother gave him ₹ 3xy2 and his father gave him ₹ 5(xy2 + 2). Out of this total money he spent ₹ (10 – 3xy2) on his birthday party. How much money is left with him?
