Question

Solving rational equationsWhich step is the error.SOLVE FOR APlease explain step by step

Answer 1

To find the error, we repeat the steps correctly:

i)

`b=(1)/(2)\cdot\sqrt[]{a-1}`

ii) We pass the 2 dividing on the right, multiplicating at the left:

`2b=\cdot\sqrt[]{a-1}`

iii) We take the square on both sides:

`\begin{gathered} (2b)^2=(\sqrt[]{a-1})^2 \\ 2^2b^2=a-1 \\ 4b^2=a-1 \end{gathered}`

iv) Finally we pass the -1 on the right as +1 to the left:

`4b^2+1=a`

Answer

Comparing the steps, we see that the error was in step III, the square of 2b is 4b², not 2b².