Question

Rozwiąż równania:
2x² =5x
3x² - 7 = 0
2x² +3x -1 = 0
9 - ( 1 - x ) = x²- 10x + 3
( 2x - 3) ² = ( x - 1 1/2 ) ²

Answer 1

2x² - 5x=0
x(2x-5)=0
x=0  v  2x-5=0
x=0  v  x=2,5

3x²-7=0
(x√3-√7)(x√3+√7)=0
x=√7/√3 = √21/3  v  x=-√21/3

2x²+3x-1=0
Δ=3²+4*2=9+8=17
x=(-3-√17)/4  v  x=(-3+√17)/4

9 - ( 1 - x ) = x²- 10x + 3
9-1+x=x² -10x+3
x²-11x-5=0
Δ=121+4*5=141
x=(11-√141)/2  v  x=(11+√141)/2

( 2x - 3) ² = ( x - 1 1/2 ) ²
(2x-3+x-3/2)(2x-3-x+3/2)=0
(3x-4,5)(x-1,5)=0
3(x-1,5)²=0
x-1,5=0
x=1,5