Solve 10x2-15x-63-5x2-25x-12 - 2x-3-x-5

The correct option is B 9 nbsp; nbsp; 10x^2+15x+63/5x^2 25x+12 = 2x+3/x 5 = gt;5x(2x+3)+63/5x(x 5)+12 = 2x+3/x 5 Let, 2x+3=a and ...

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Division of a Polynomial by a Monomial

Solve 10x2+...

Question

Solve $\frac{10 x^{2} + 15 x + 63}{5 x^{2} - 25 x + 12} = \frac{2 x + 3}{x - 5}$

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Solution

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\frac{10 x^{2} + 15 x + 63}{5 x^{2} - 25 x + 12} = \frac{2 x + 3}{x - 5}

\frac{10 x^{2} + 15 x + 63}{5 x^{2} - 25 x + 12} = \frac{2 x + 3}{x - 5}

\frac{x^{2} + 12 x - 20}{3 x - 5} = \frac{x^{2} + 8 x + 12}{2 x + 3}

\frac{10 x^{2} + 15 x + 63}{5 x^{2} - 25 x + 12} = \frac{2 x + 3}{x - 5}

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\frac{10 x^{2} + 15 x + 63}{5 x^{2} - 25 + 12} = \frac{2 x + 3}{x - 5}

3 \sqrt{5} x^{2} + 25 x - 10 \sqrt{5} = 0

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