What is the answer to (x^2-19x+84)/(x^2-16x+48)=0 ?

The answer to (x^2-19x+84)/(x^2-16x+48)=0 is x=7

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(x^2-19x+84)/(x^2-16x+48)=0

\frac{x ^{2} - 19 x + 84}{x ^{2} - 16 x + 48} = 0

x = 7

Solution steps

\frac{x ^{2} - 19 x + 84}{x ^{2} - 16 x + 48} = 0

Simplify

\frac{x ^{2} - 19 x + 84}{x ^{2} - 16 x + 48} : \frac{x - 7}{x - 4}

\frac{x - 7}{x - 4} = 0

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

x - 7 = 0

Move

7

to the right side

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 12, x = 4

Combine undefined points with solutions:

x = 7

\frac{14}{15} = \frac{26}{x}

\frac{1}{x ^{2}} - \frac{1}{x} = 0

\frac{0.4}{w} = \frac{3}{0.75}

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

5 + \frac{5}{x - 7} = \frac{6 x}{x - 7}

What is the answer to (x^2-19x+84)/(x^2-16x+48)=0 ?
The answer to (x^2-19x+84)/(x^2-16x+48)=0 is x=7
Solve for x: (x^2-19x+84)/(x^2-16x+48)=0
The solution is x=7