Advertisements
Advertisements
प्रश्न
If a2 + b2 + c2 = 250 and ab + bc + ca = 3, find a + b + c.
Advertisements
उत्तर
Recall the formula
`(a+b+c)^2 = a^2 +b^2 +c^2 + 2(ab + bc + ca)`
Given that
`a^2 + b^2 + c^2 = 250 , ab + bc + ca = 3 `
Then we have
`(a+b+c)^2 = a^2 + b^2 + c^2 + 2 (ab + bc+ca)`
`(a+b+c)^2 = 250 + 2.(3)`
`(a+b+c)^2 = 256`
`(a+b+c) =± 16`
APPEARS IN
संबंधित प्रश्न
Factorize `[x^2 + 1/x^2] - 4[x + 1/x] + 6`
Factorize `2a^2 + 2 sqrt6ab + 3b^2`
Simplify `(173 xx 173 xx 173 xx 127 xx 127 xx 127)/(173 xx 173 xx 173 xx 127 xx 127 xx 127)`
If 3x + 5y = 11 and xy = 2, find the value of 9x2 + 25y2
Write the value of 253 − 753 + 503.
Write in the form of an algebraic expression:
Perimeter (P) of a rectangle is two times the sum of its length (l) and its breadth (b).
Write the variables, constant and terms of the following expression
29x + 13y
If x = 2 and y = 3, then find the value of the following expressions
x + 1 – y
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
A taxi service charges ₹ 8 per km and levies a fixed charge of ₹ 50. Write an algebraic expression for the above situation, if the taxi is hired for x km.
