What is the answer to roots (ax+b)/(cx+d) ?

The answer to roots (ax+b)/(cx+d) is x=-b/a ;\quad a\ne 0

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roots (ax+b)/(cx+d)

roots

\frac{a x + b}{c x + d}

x = - \frac{b}{a}; a \neq = 0

Solution steps

\frac{a x + b}{c x + d}

The roots are the intercepts with the x-axis

(y = 0)

\frac{a x + b}{c x + d} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

a x + b = 0

Move

b

to the right side

a x = - b

Divide both sides by

a; a \neq = 0

x = - \frac{b}{a}; a \neq = 0

\frac{x - 3}{x - 4} = \frac{x + 2}{x + 6}

\frac{x + 1}{x - 1} - \frac{x + 4}{x - 2} = 1

x^{2} - 5 x - 2 - \frac{24}{x ^{2} - 5 x} = 0

\frac{9 x}{x + 9} + 1 = - \frac{1}{x + 9}

\frac{2}{y + 4} - \frac{1}{y - 3} = 0

What is the answer to roots (ax+b)/(cx+d) ?
The answer to roots (ax+b)/(cx+d) is x=-b/a ;\quad a\ne 0