Question

if x+1/x=5 then find x^2+1/x^2​

Answer 1

Answer:

17 is Ur answer

Step-by-step explanation:

by solving the equation given find out X and sub X in the second expression to get the answer.....

Answer 2

Given:

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

To Find:

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

Solution:

As it is given,

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

Square both sides,

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

Apply the formula here

(a+b) ² = a² + 2ab + b²

$x {}^{2} + \frac{1}{x{}^{2} } + 2 \times x \times \frac{1}{x} \: = 25 \\ \\ \\ here \: a = x \: \: \: \: b = \frac{1}{x}$

While calculating,

There is cancellation of x

$x {}^{2} + \frac{1}{x {}^{2} } + 2 = 25 \\ \\ x {}^{2} + \frac{1}{x {}^{2} } = 25 - 2 \\ \\ x {}^{2} + \frac{1}{x {}^{2} } = 23$

Therefore, Value of x²+ 1/x² = 23

Extra information:

1. Always try substitution method to solve any maths equation. Try to find similar equation and substitute the value accordingly
2. Revise formulas to solve maths as formulas can be applicable anywhere as per question
3. Try to solve equation in mind before solving