(x - 2)(x + 4) = (x + 7)(x - 1) High school precalculus. I am learning precalc right now in my math class and I can’t figure out the TWO extraneous solutions to this problem. The topic, the question was under was Logarithmic equations. Originally the problem was “ln(x-2)+ln(x+4)=ln(x+7)+ln(x-1)” I got that down to “ln[(x-2)(x+4)]=ln[(x+7)(x-1)]” then I got that down to “(x-2)(x+4)=(x+7)(x-1)” then that to “x^2+2x-8=x^2+6x-7” my first answer was -1/4=x but then my teacher said I have to solve for extraneous solutions I’m not sure how I find 2 answers to this problem please help

Acompany is making new soccer uniforms for a team. the company uses 2.5 yards of fabric for each shirt. the company uses 82.5 yards of fabric to make shirts and shorts for 15 players. the equation and solution below represents the situation. 15(2.5+x)=82.5; x=3 what does the solution, x=3, represent?

Gretchen is setting up for a banquet. she has 300 chairs and needs to distribute them evenly among t tables. how many chairs should she put at each table? write your answer as an expression.

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.