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ZanzabumX [31]
3 years ago
8

Solve the quadratic equation by factoring. 7K^2-6k+3=3

Mathematics
2 answers:
ivann1987 [24]3 years ago
6 0
Subtract 3 to get:

7k^2-6k=0

Clearly, we can factor out a k to find that:

k(7k-6)=0

If either k or 7k-6 is zero, the whole expression is zero, so our solutions are zero and 6/7.
Ilya [14]3 years ago
6 0
We make one side zero
subtract 3 from both sides
7k^2-6k=0
factor out k
(k)(7k-6)=0
set each to zero
k=0

7k-6=0
add 6 to both sides
7k=6
diivde by 7
k=6/7

k=0 or 6/7

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The partial fraction decomposition is \frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}

<h3>How to determine the decomposition?</h3>

The fraction is given as:

\frac{8x + 19}{(x + 8)(x - 1)}

Split the fraction as follows:

\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}

Take the LCM

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Read more about partial fraction at:

brainly.com/question/12783868

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