Question

solve the equation 2x² - 5x + 3 by the method of completing square​

Answer 1

Answer:

$x = \frac{11}{4} \\ \\ x = \frac{9}{4}$

Step-by-step explanation:

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See The Attachment My Friend....

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Answer 2

The solution is as follows:

x = 3/2, 1

Step-by-step explanation:

$2x^2-5x+3=0$

$\implies 2(x^2-\frac{5}{2}x+\frac{3}{2})=0$

$\implies 2(x^2-2\times\frac{5}{4}x+(\frac{5}{4})^2-(\frac{5}{4})^2+\frac{3}{2})=0$

$\implies 2[(x^2-2\times\frac{5}{4}x+(\frac{5}{4})^2)-\frac{25}{16}+\frac{3}{2}]=0$

$\implies 2[(x-\frac{5}{4})^2-\frac{25}{16}+\frac{24}{16}]=0$

$\implies 2[(x-\frac{5}{4})^2-\frac{1}{16}]=0$

$\implies (x-\frac{5}{4})^2-\frac{1}{16}=0$

$\implies (x-\frac{5}{4})^2=\frac{1}{16}$

$\implies (x-\frac{5}{4})=\pm\sqrt{\frac{1}{16}}$

$\implies x-\frac{5}{4}=\pm\frac{1}{4}$

$\implies x=\frac{5}{4}\pm\frac{1}{4}$

Taking + sign once and - sign then we get

$x=\frac{3}{2}, 1$

Hope this answer is helpful.

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