Question

3)
Solve by completing square method.
5m² + m = 3​

Answer 1

Answer:

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Answer 2

m = (-1 + √61)/10, (-1 - √61)/10

Step-by-step explanation:

$5m^2+m=3$

$\implies 5(m^2+\frac{m}{5})=3$

$\implies m^2+2\times\frac{1}{10}\times m+(\frac{1}{10})^2=\frac{3}{5}+(\frac{1}{10})^2$

$\implies (m+\frac{1}{10})^2=\frac{60+1}{100}$

$\implies m+\frac{1}{10}=\pm\sqrt{\frac{61}{100}}$

$\implies m+\frac{1}{10}=\pm\frac{\sqrt{61}}{10}$

$\implies m=-\frac{1}{10}\pm\frac{\sqrt{61}}{10}$

$\implies m=\frac{-1+\sqrt{61}}{10}$

Hope this answer is helpful.

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