Question

0,25x²-x+1=0 stiti ?

Answer 1

inmultim in stanga si in dreapta cu 4 si obtinem
x^2-4x+4=0
(x-2)^2=0
x=2

Noapte buna!

Answer 2

$\displaystyle 0,25x^2-x+1=0 \\ \\ \frac{25}{100} x^2-x+1=0 \\ \\ \frac{1}{4} x^2-x+1=0 \\ \\ a= \frac{1}{4} ,b=-1,c=1 \\ \\ \Delta=b^2-4ac=(-1)^2-4 \cdot \frac{1}{4}\cdot 1=1-1=0 \\ \\ x_1=x_2=- \frac{b}{2a} =- \frac{-1}{2 \cdot \frac{1}{4} } =- \frac{-1}{ \frac{2}{4} } = \frac{1}{ \frac{2}{4} }=1: \frac{2}{4} =1 \cdot \frac{4}{2} = \frac{4}{2}=2$