Question

if x square +1/xsquare=3 find the value of x +1/x​

Answer 1

• x^2+1\x^2=3
• x^2+1=3x^2
• 3x^2-x^2+1=0
• 2x^2+1=0
• x^2= -1\2

x=1\√2

:x+1\x

• [(1\√2)+1]÷(1\√2)
• [(1+√2)÷√2]× √2

=[1+√2 ]

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Answer 2

Answer:

$x^{2} + \frac{1}{x^{2} } = 3$

Adding two on both sides we get,

=$x^{2} + \frac{1}{x^{2} } + 2 = 5\\x^{2} + \frac{1}{x^{2} } + 2 * x * \frac{1}{x} = 5$

As (a+b)² = a² + b² + 2ab

so

$(x + \frac{1}{x} )^{2} = x^{2} + \frac{1}{x^{2} } + 2 * x * \frac{1}{x}$

Now,

$(x + \frac{1}{x})^{2} = 5$

$x + \frac{1}{x} =$ √5

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