Question

2/x²-5/x+2=0(x not equal to 0)​

Answer 1

Step-by-step explanation:

x=1/2 ,2

solving quadratic eqn

after lcm

2x² -5x+2=0 be quadratic eqation

2x(x-2)-1(x-2)=0

=> x =1/2,2

Answer 2

$\frac{2}{ {x}^{2} } - \frac{5}{x} + 2 = 0 \\ \\ \longrightarrow \: {x}^{2} \bigg( \frac{2}{ {x}^{2} } - \frac{5}{x} + 2 \bigg) = 0 \\ \\ \longrightarrow \: 2 {x}^{2} - 5x + 2 = 0 \\ \\ \longrightarrow \: 2 {x}^{2} - 4x - x + 2 = 0 \\ \\ \longrightarrow \: 2x \bigg( x - 2 \bigg) - \bigg(x - 2 \bigg) = 0 \\ \\ \longrightarrow \bigg(x - 2 \bigg) \bigg(2x - 1 \bigg) = 0 \\ \\ \large{ \therefore} \: \: \: \: \: \boxed{\begin{array}{c|c} \longrightarrow \bf \: x = 2 \: \: \: \: \: \: \: \: \: & \longrightarrow \bf x = - \frac{1}{2} \end{array}}$