Find all real solutions of the equation. \frac{1}{x-1}-\frac{2}{x^{2}}=0Z

sibuzwaW

sibuzwaW

Answered question

2021-09-24

Find all real solutions of the equation.
1x12x2=0

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2021-09-25Added 91 answers

Step 1
Real solutions of a function can also be found by plotting the function on a graph. The x-coordinate value where the function touches the x-axis is the solution for the equation.
The maximum number of solutions of an equation is equal to the degree of equation. The number of solutions can never exceed the degree of equation.
Step 2
The given function is represented as 1x12x2=0.
Solving the equation for x for finding solutions of the equation.
1(x22(x1))(x1)(x2)=0
x22x+1(x1)(x2)=0
Since the denominator of a function can never be equal to 0, hence x cannot take values 1 and 0
x22x+1=0
(x1)2=0
x=1
Here, we are getting x = 1 but we have already obtained a statement that x cannot be equal to 1.
Therefore, there are no real solutions for the function 1x12x2

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