Question

samira showed her work for solving the equation 8m^2-16m=0 below. She got m=2 as her final answer. Did she solve the equation correctly or did she make any errors? Write a full explanation describing each step of her work and whether she did it correctly or incorrectly.

Answer 1

`8m^2-16m=0`

we can factorize m

`m(8m-16)=0`

because we have and second-degree equation we will have two results for m

the first m=0

and the second m can be calculated with the next equation

`8m-16=0`
`8m=16`

`m=(16)/(8)=2`

m=2

She made a mistake because we need two values to answer fully the equation

m=2 and m=0