x^2+3x-28/(x+7)(x-4) (fraction)=-11
\[ \frac{x^2 +3x-28}{(x+7)(x-4)}=-11\] Multiply both sides by [(x+7)(x-4)] to get \[x^2 +3x-28 = -11[(x+7)(x-4)]\] add 11[(x+7)(x-4)] to both sides and then simplify to a single quadratic equation to solve. Remember that x cannot two specific numbers
Thats what I got in class but my teacher said "figure it out"
\[ x^2 + 3x -28 +11x^2 +33x -28(11) =0\] \[12x^2 +36x -28(12)=0\] you can divide everything by 12 legally here \[x^2 +3x -28 = 0 \] \[(x+7)(x-4)=0\] x=-7,4
but you cannot divide things by 0 so the answer is undefined
This is a bad problem, because if your math is correct you are dividing by zero.
and some teacher you got there -confused
Some of the examples in our textbook are wrong. We spend class time proving them wrong.
The answer is no solution. Books do have typos and they drive me crazy, but sometimes the answer is no solution. Figure it out is pretty lame. You did figure it out. There wasn't a value of x that would make that equation work. Hence no solution.
Join our real-time social learning platform and learn together with your friends!