if (x+y+z)=9 and (xy+yz+zx)=26, then find the value of x^2+y^2+z^2
Answers
Answered by
1
Step-by-step explanation:
(X+y+z)^2=x^2+y^2+z^2+2(xy+yx+yz)
81=x^2+y^2+z^2+52
81-52=x^2+y^2+z^2
x^2+y^2+z^2=29
Answered by
5
Answer:
The ans. is 29
Step-by-step explanation:
According to the identity
(x+y+z)^2 =x^2+y^2+z^+2(xy+ yz+zx)
=>(9)^2=x^2+y^2+z^2+2(26)
=>81=x^2+y^2+z^2+52
=>81-52=x^2+y^2+z^2=29.
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