Question

solve the following equation for x .using quadratic formula if possible: x-1/x =4:xis not equal to 0​

Answer 1

Answer:

$\huge{\underline{\bf x=2+\sqrt{5} , 2-\sqrt{5} }}}$

Step-by-step explanation:

$given, \\\\=> x-\frac{1}{x}=4 \\\\ =>\frac{x^2-1}{x}=4\\\\=>x^2-1=4x \\\\ =>x^2-4x-1=0 \\\\=> x^2-4x=1 \\\\=>x^2-2(x)(2)=1 \\\\ \textbf{add on both sides} >2^2 \\\\=> x^2-2(x)(2)+2^2=1+2^2 \\\\=> (x-2)^2=4+1 \ \ \ \ \ [a^2-2ab+b^2=(a-b)^2] \\\\ =>(x-2)^2=5 \\\\=>(x-2)= \pm \sqrt{5} \\\\=>x=2+\sqrt{5} , 2-\sqrt{5}$