Question

What is the solution of x-1/x^2 +5x+4 less than or equal to 0

Answer 1

`x-1/x^2 +5x+4` = no real value

Explanation:

Step 1 : Multiply through by x^2

`x^(2) -1 +5x^(3)+ 4x^(2)`

Step 2 : Collect like terms

`5x^(3)+5x^(2) -1\geq 0`

Step 3 : Ignore the sign and solve for x

`5x^(3) +5x^(2) -1 = 0\\x =0.380609458\\x= 0.4(2dp)`

Step 4 : Input back into the equation

Step 5: This shows that x-1/x^2 +5x+4 has no real values.