Question

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

Answer 1

$\bf{Hey\ there!}$

$\bf{Quadratic\ formula\ is:}$$\bf{x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}} \ or \ you\ could\ say\ ax^2+bx+c=0$

$\bf{\bullet\ First: subtract\ by\ 2x\ on\ your\ sides\ that\ you're\ working\ with}$

$\bf{Like:x^2+20-2x=2x-2x}$

$\bf{We\ get:x^2-2x+20=0}$

$\bf{\bullet \ a=1}\\ \bf{\bullet \ b=-2}\\ \bf{\bullet \ c=20}$

$\bf{x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(20})}{2(1)}$

$\bf{(-2)^2-4(1)(20)=-76} \\ \\ \bf{2(1)=2}$

$\bold{-(-2)=-1(-2))=+2}$

$\bf{x=\frac{2\pm\sqrt{-76}}{2}}$

$\bf{Thus\ there\ is\ NO\ REAL\ SOLUTIONS}$

$\text{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}$

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