Question

Where is the error in the solution below? Explain what the error is and solve the equation correctly. Be sure to check your answer.

Answer 1

Answer:

Where is the error in the solution below? Explain what the error is and solve the equation correctly. Be sure to check your answer.

Answer 2

Answer:

The error in the question is that in the second line, both sides are not multiplied by x. This causes an imbalance in the equation.

Step-by-step explanation:

$\frac{5}{x}= x-4$

Multiply both sides by x.

$x(\frac{5}{x}) = x(x-4)$

$5= x^{2} -4x$

Subtract 5 from the equations.

$x^{2} -4x-5=0$

Factorise the equation (Quadratics)

$(x-5)(x+1)=0$

Null Factor Law

$x=5$ or $x=-1$