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The Sum of a Number and Its Reciprocal is 17/4. Find the Number. - Mathematics

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The sum of a number and its reciprocal is 17/4. Find the number.

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Let the number be ‘x’

According to the given hypothesis

`x+1/x=17/4`

`rArr(x^2+1)/x=17/4`

⇒ 4(ЁЭСе2 + 1) = 17ЁЭСе

⇒ 4ЁЭСе2 - 17ЁЭСе + 4 = 0

⇒ 4ЁЭСе2 - 16ЁЭСе - ЁЭСе + 4 = 0

⇒ 4ЁЭСе(ЁЭСе - 4) - 1(ЁЭСе - 4) = 0

⇒ ЁЭСе =1/4 ЁЭСЬЁЭСЯ ЁЭСе = 4

∴ The value of ЁЭСе = 4

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рдкрд╛рда 4: Quadratic Equations - Exercise 4.7 [рдкреГрд╖реНрда релреи]

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рдЖрд░рдбреА рд╢рд░реНрдорд╛ Mathematics [English] Class 10
рдкрд╛рда 4 Quadratic Equations
Exercise 4.7 | Q 21 | рдкреГрд╖реНрда релреи

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