Question

Rozwiąż równania kwadratowe:

a) x^2 = (1-x) (1+x)

b) 1/2x(6-x)=2x+x

c) (x-3) (x-2)=7x-30

d) x^2 - x/3 + 1/2=0

e) 1/4x^2 - x/3 + 1/9=0

Answer 1

a)x^2=1^2-x^2

x^2+x^2=1

2x^2=1

x^2=1/2

x=√1/2 lub x=-√1/2

 

b)3x-1/2x^2=3x

3x-3x-1/2x^2=0

-1/2x^2=0

x^2=0

x=o