Question

If x²+1/x²=23, find the value of x+1/x please answer fast​

Answer 1

$\huge\mathcal{\fcolorbox{aqua}{azure}{\red{❖Solution}}}$

$\large\orange{\sf{Given}}$

$x {}^{2} + \frac{1}{x {}^{2} } = 23$

$\large\blue{\sf{To~find}}$

$x + \frac{1}{x}$

$\large\pink{\sf{Answer}}$

$\large{\sf{Using~identity~(a+b)²~=~a²~+b²~+~2ab}}$

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

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

$(x + \frac{1}{x}) {}^{2} = 23 + 2$

$(x + \frac{1}{x}) {}^{2} = 25$

$x + \frac{1}{x} = \sqrt{25}$

$x + \frac{1}{x} = 5$

$\green{✤✤-Hope~it~helps-✤✤}$