Question

find the roots of the following quadratic equation with their just by the method of completing Square x square - 7 x + 3 equal to zero​

Answer 1

x²-7x+3

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By completing square method

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$a = > 1 \\ b = > ( - 7) \\ c = > 3$

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$\boxed {d= {b}^{2} - 4ac}$

$d = > {7}^{2} - 4 \times 1 \times 3 \\ d = > 49 - 12 \\ d = > 37$

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$\boxed{x = \frac{ - b + - \sqrt{d} }{2 \times a} }$

$x = \frac{ - (7) + - 4 \times 1 \times 3}{2 \times 1 } \\ \\ x = \frac{ - 7 + 12}{2} \: \: \: \: \: \: \: \: x = \frac{ - 7 - 12}{2 } \\ \\ x = \frac{5}{12} \: \: \: \: \: \: \: x = \frac{ - 19}{12}$

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Roots are

$\frac{5}{12} \: and \: \frac{ - 19}{12}$

Thnkx ☺️