Question

Solve the following quadratic by completing the square. (Hint: It won't factor) x2-10x+5=0

Answer 1

$5+2\sqrt{5} , 5-2\sqrt{5}$    Answer:   5±2$\sqrt{5}$

Step-by-step explanation:

x2 -10x=5=0

x2-10x+25=-5+25

(x-5)(x-5)=20

$(x-5)^{2} =\sqrt{20}$

$\sqrt{x-5}=\sqrt{20}$

x-5=±$\sqrt{20$

x=5±$\sqrt{5*4$

x=5±2$\sqrt{5}$