Sagot :
✏️QUADRATIC EQUATION
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]x^{2} -5x+3y=20\\\\x^{2} -5x+3y-20\\\\x=\frac{-(-5)\pm\sqrt{(-5)^2-4(3y-20)} }{2} \\\\x=\frac{-(-5)\pm\sqrt{25-4(3y-20)} }{2} \\\\x=\frac{-(-5)\pm\sqrt{25+80-12y} }{2} \\\\x=\frac{-(-5)\pm\sqrt{105-12y} }{2} \\\\x=\frac{5\pm\sqrt{105-12y} }{2} \\\\x=\frac{\sqrt{105-12y} +5}{2} \\\\x=\frac{-\sqrt{105-12y}+5}{2}[/tex]
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
FINAL RESULT
[tex]x=\frac{\sqrt{105-2y}+5 }{2} \\\\x=\frac{-\sqrt{105-2y} +5}{2}[/tex]
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]