if x^2,y^2,z^2 = 3^2×5^2×7^2 then find (x+y+z)
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1
Answer:
x^2 +y^2+z^2=2(x-y-z)-3
Or, x^2+y^2+z^2=2x-2y-2z-3
Or, x^2+y^2+z^2–2x+2y+2z+3=0
Or,(x^2–2x+1)+(y^2+2y+1)+(z^2+2z+1)=0
Or, (x-1)^2+(y+1)^2+(z+1)^2=0
Now the sum of the squares is 0
only when they individually becomes 0.
So, (x-1)^2=0
Or, x-1=0
Or, x=1
(y+1)^2=0
Or, y+1=0
Or, y=-1
And (z+1)^2=0
Or, z+1=0
Or, z=-1
Now 2x-3y+4z
=2×1–3×(-1)+4×(-1)
=2+3–4
=5–4
=1
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Step-by-step explanation:
refer to the attachment
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