Question

state whether (x+1/x)²=3(x+1/x)+4 is a quadratic equation ​

Answer 1

yes

Step-by-step explanation:

put( x + 1/x) = a

a^2 - 3a -4 = 0

a^2 -4a + a - 4 = 0 => (a - 4) (a + 1)

a = 4 , -1

this equation satisfies or gives remainder = 0 on putting(x+1/x) = 4 or -1 .

hence ,it is a quadratic equation.