How do you solve #x^2 / ( x-4) - 7 / (x-4) = 0# and find any extraneous solutions?
1 Answer
Jun 10, 2017
Explanation:
#"since the fractions have a "color(blue)"common denominator"#
#"we can combine them by subtracting the numerators"#
#rArr(x^2-7)/(x-4)=0to(x!=4)#
#"equating the numerator to zero"#
#rArrx^2-7=0#
#rArrx^2=7#
#color(blue)"take the square root of both sides"#
#sqrt(x^2)=+-sqrt7larr" note plus or minus"#
#rArrx=+-sqrt7" are the solutions"#
