Very simple :P

Algebra Level pending

Find the value of x. x is an integer

This question is flagged because there is no solution to the equation.

The answer is -100.

2 solutions

Aakash Singh
Dec 17, 2014

$\sqrt { \frac { { (x+1) }^{ 7 } }{ { (x+1) }^{ 3 } } } =\sqrt { { (x+1) }^{ 4 } } ={ (x+1) }^{ 2 }=0\\ on\quad finding\quad the\quad roots\quad for\quad x,\\ x=\{ -1,-1\} \\ since\quad bothe\quad the\quad roots\quad are\quad same\quad therefore\quad \\ the\quad single\quad answer\quad for\quad the\quad question\quad is\quad -1.$

The first line is not true. $\frac{ x} { x}$ is not identically equal to 1. It is equal to 1 only if $x \neq 0$ .

Calvin Lin Staff - 6 years, 5 months ago

your answer is correct. tnx for the solution were the same in solution.

Lovelykelly Oracion - 6 years, 5 months ago

Anatoliy Razin
Dec 17, 2014

there no solution, -1 is not a solution (division by zero)

Thanks for pointing it out.

Those who answered -1 have been marked wrong.

Calvin Lin Staff - 6 years, 5 months ago

my answer is correct. What's wrong with my problem?

Lovelykelly Oracion - 6 years, 5 months ago

Note that when you substitute $x = -1$ into the equation, the denominator becomes 0. You cannot divide by 0.

The function $\frac{x}{x}$ is not equal to 1 always. It is only equal to 1 if $x \neq 0$ .

Calvin Lin Staff - 6 years, 5 months ago

@Calvin Lin – tnx Mr. Staff. I'm sorry for the wrong answer that i gave to you. I hope will consider my apologize. :P :)

Lovelykelly Oracion - 6 years, 5 months ago

Very simple :P

The answer is -100.

2 solutions

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