Find the zeros of the polynomial of x^2-5x+3

1.	Find the zeros of the polynomial of x^2-5x+3
Answer» $\huge\underline{ \underline{ \bf{ \red{ \: solution \: : = }}}}$ $\bf {\blue{ {x }^{2} - 5x + 3 = 0 }}$ By using COMPLETING the SQUARE method for solving this equation. move constant to the right hand SIDE and CHANGE it's sign. ⠀⠀⠀⠀⠀ $\bf {\green{ {x}^{2} - 5x = - 3 }}\\$ Add $\bf {\green{ (\frac{5}{2} ) {}^{2} }} \\$ to both the sides of the equation. $\bf {\green{ {x}^{2} - 5x + (\frac{5}{2} ) {}^{2} = - 3 + (\frac{5}{2} ) {}^{2} }}\\$ Using , ⠀⠀⠀ $\bf{ \boxed{ \purple{ \fbox{ {a}^{2} + {b}^{2} - 2ab = (a - b) {}^{2} }}}}\\$ ⠀ $\bf{ \green{(x - \frac{5}{2} ) {}^{2} = - 3 + \frac{5}{2} {}^{2} }} \\$ ⠀ $\bf {\green{(x - \frac{5}{2} ){}^{2} = \frac{13}{4} }} \\$ ⠀⠀⠀⠀⠀ $\bf{ \boxed{ \fbox {\purple{x = \frac{ - \sqrt{13} + 5}{2} }}}}$ ⠀⠀⠀⠀⠀ $\bf{ \boxed{ \fbox {\purple{x = \frac{ \sqrt{13} + 5 }{2} }}}}$

Answer»

$\huge\underline{ \underline{ \bf{ \red{ \: solution \: : = }}}}$