Did something go wrong?

Algebra Level 2

Which solution to the equation x2=xx^2 = x contains an error?

A.

Original:                                                 x2=xDivide both sides by x:          x=1\begin{aligned} \text{Original: }\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; x^2 &= x\\ \text{Divide both sides by x:}\;\;\;\;\; x &= 1 \end{aligned}

B.

Original:                                                                                                             x2=xSubtract x from both sides:                                        x2x=0Factor:                                                                                                x(x1)=0Use the Zero Product Property:                              x=0,x=1\begin{aligned} \text{Original: }\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; x^2 &= x\\ \text{Subtract x from both sides:}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;x^2 - x &= 0\\ \text{Factor:}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; x(x-1) &= 0\\ \text{Use the Zero Product Property:}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; x =0&, x = 1 \end{aligned}

×

Problem Loading...

Note Loading...

Set Loading...