if (2x+1/2x)=17/4 then value of 8x+1/8x
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Answer:
(17±15)÷2 + 2 ÷ (17±15)
Step-by-step explanation:
(2x+1/2x)=17/4
4x² + 1 = 17/2 x
4x² - 17/2 x +1 = 0
x² - 17/8 x +1/4 = 0
x = 17/8 ± √ (17/8)² - 1 ÷2
x = 17/8 ± (15/8) ÷2
x = (17±15)÷16
8x = (17±15)÷2
1/8x = 2 ÷ (17±15)
8x+1/8x = (17±15)÷2 + 2 ÷ (17±15)
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