find the value of x if 4(10/x)² - 6(10/x)²+3(10/x)²=1
Answers
Answered by
0
Step-by-step explanation:
Answer
Given equation, x
4
−10x
3
+26x
2
−10x+1=0
⟹(x
2
+x
−2
)–10(x+x
−1
)+26=0[dividing byx
2
]
Substitute x+x
−1
=y in the above equation
⟹(y
2
−2)−10y+26=0⟹y
2
−10y+24=0⟹(y−6)(y−4)=0
⟹x+x
−1
=y=4and6
⟹x
2
−6x+1=0andx
2
−4x+1=0
⟹x=3±2
2
andx=2±
3
Answered by
1
Answer:
x = 10
Step-by-step explanation:
ok4(10/x)² - 6(10/x)²+3(10/x)²=1
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