Question

solve equation 2 x square - 5 x + 3 is equal to zero by the method of completing square​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

x = 3/2 and x = 1

Step-by-step explanation:

Divide coefficient of x in whole equation

$x^2-\frac{5x}{2}+(\frac{5}{4})^2=\frac{-3}{2}+(\frac{5}{4})^2\\(x^2-\frac{5}{4})^2=\frac{-3}{2}+(\frac{5}{4})^2\\(x-\frac{5}{4})^2=\frac{-3}{2}+\frac{25}{16}\\(x-\frac{5}{4})^2=\frac{-24+25}{16}\\(x-\frac{5}{4})^2=\frac{1}{16}$

squaring both sides

$x-\frac{5}{4}=\sqrt{\frac{1}{16}}\\x-\frac{5}{4}=\pm\frac{1}{4}\\(x-\frac{5}{4})=\frac{1}4} or(x-\frac{5}{4})=-\frac{1}4}\\x=\frac{3}{2} \\or \\x=1$