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Solving a Quadratic Equation by Factorization Method

Solve the fol...

Question

Solve the following quadratic equation by factorization.
$\frac{1}{x + 4} - \frac{1}{x - 7} = \frac{11}{30}, x \neq 4, 7$

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Solution

$fraction numerator 1 over denominator x plus 4 end fraction minus fraction numerator 1 over denominator x minus 7 end fraction equals 11 over 30 fraction numerator x minus 7 minus x minus 4 over denominator left parenthesis x plus 4 right parenthesis left parenthesis x minus 7 right parenthesis end fraction equals 11 over 30 fraction numerator negative up diagonal strike 11 over denominator left parenthesis x plus 4 right parenthesis left parenthesis x minus 7 right parenthesis end fraction equals fraction numerator up diagonal strike 11 over denominator 30 end fraction left parenthesis x plus 4 right parenthesis left parenthesis x minus 7 right parenthesis equals negative 30 x squared minus 3 x minus 28 plus 30 equals 0 x squared minus 3 x plus 2 equals 0$
product of 1 and 2 = 2
which can be written as -2 x -1
-2 -1= -3

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Q. Solve the following quadratic equation:

\frac{1}{x + 4} - \frac{1}{x - 7} = \frac{11}{30}, x \neq 4, 7

Q. Solve the following quadratic equations by factorization:

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Q. Solve the following quadratic equation by factorization, the roots are

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\frac{3}{x + 1} + \frac{4}{x - 1} = \frac{29}{4 x - 1}; x \neq 1, - 1, \frac{1}{4}

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$25 x (x + 1) = - 4$

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