Question

if a2+b2+c2=125 and ab +bc +ca =100 find a+b+c​

Answer 1

Answer:

This is the answer required..............

Answer 2

$\bigstar$ Question:

• If a² + b² + c² = 125 and ab + bc + ca= 100.
• Find a + b + c .

$\bigstar$To find:

• The value of a + b + c.

$\bigstar$ Solution:

$\bigstar$Given:

• a² + b² + c² = 125...... (i)
• ab + bc + ca = 100.......(ii)

$\bigstar$Process:

We know that,

( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca

So, by substituting the Values we get,

( a + b + c )² = 125 + 2 ( 100 )

(Since it is given ab + bc + ca = 100, we took 2 as common)

$\implies$ 125 + 200 = ( a + b + c )²

$\implies$ 325 = ( a + b + c )²

$\implies$ ( a + b + c ) = √325

$\bigstar$Answer:

• Therefore, the value of

( a + b + c ) = √325