solve for x x^2-14x+49÷x^2-49=3÷7
brunoconti:
u means (x^2 - 14x + 49)÷(x^2 - 49)?
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FIRST WE WILL SOLVE THE NUMERATOR OF RHS
WHICH IS
X^2-14X+49
=X^2-7X-7X+49
=X(X-7)-7(X-7)
=(X-7)(X-7)
NOW WE WILL SOLVE
DENOMINATOR OF RHS
X^2-49
=(X+7)(X-7)
SO
X^2-14X+49/X^2-49=3/7
(X-7)(X-7)/(X+7)(X-7)=3/7
X-7/X+7=3/7
7(X-7)=3(X+7)
7X-49=3X+21
7X-3X=21+49
4X=70
X=70/4
X=35/2
X=17.5
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