The least value of expression x²+4y²+9z²-2x+8y+27z+15 is. (A)15. (B)5. (C)-31/7. (D)-41/4
Answers 1
Answer: D) is the correct
Step-by-step explanation: Correct option is D)
(x
2
−2x)+4(y
2
+2y)+9(z
2
+3z)+15
(x−1)
2
+4(y+1)
2
+9(z+
2
3
)
2
+15−(1+4+9×
4
9
)
=(x−1)
2
+4(y+1)
2
+9(z+
2
3
)
2
+15−
4
101
=(x−1)
2
+4(y+1)
2
+9(z+
2
3
)
2
−
4
41
.
∴ Minimum value is
4
−41
.
Link- https://www.toppr.com/ask/question/the-least-value-of-expression-x24y29z22x8y27z15-is/
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Author:
aldo59
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