Question

Solve using the quadratic formula (you must show work) 52 − 2 + 1 = 0

Answer 1

Answer:

see below

Step-by-step explanation:

we have

$5x^2-2x+1=0$

and the quadratic equation is

$ax^2+bx+c=0$

so we can see that

$a=5\\\\b=-2\\\\c=1$

and the quadratic formula is

$x=\frac{-b+-\sqrt{b^2-4ac} }{2a}$ it should go this symbol ± instead of +-

so we insert each value

$x=\frac{-(-2)+-\sqrt{(-2)^2-4(5)(1)} }{2(5)} \\\\x=\frac{2+-\sqrt{4-20} }{10}\\\\x=\frac{2+-\sqrt{-16} }{10} \\\\x=\frac{2+-4i}{10} \\\\x_1=\frac{2(1+2i)}{2*5} \\\\x_1=\frac{1+2i}{5} \\\\x_2=\frac{2(1-2i)}{2*5} \\\\x_2=\frac{1-2i}{5}$

i don't know if you already know about imaginary numbers if you do then the answer is all the work

if you don't know, well just go until

$x=\frac{2+-\sqrt{-16} }{10}$

and say there is no answer to this, because negatives don't have square roots