Question

Rezolvați ecuațiile
1) ײ-5×+4=0
2)ײ-5×+6=0
3) ײ-5×=0
4) ײ-5×-6=0
5)×2-5×-14=0​

Answer 1

1. x²-5x+4=0

delta=(-5)²-4×4×1

delta=25-16

delta=9

x1=(5-3)/2. x2=(5+3)/2

x1=1. x2=4

2. x²-5x+6=0

delta=(-5)²-4×6×1

delta=1

x1=(5-1)/2. x2=(5+1)/2

x1=2. x2=3

3. x²-5x=0

x(x-5)=0

x1=0. x2-5=0

x2=5

4.x²-5x-6=0

delta=(-5)²+4×6×1

delta=25+24

delta=49

x1=(5-7)/2. x2=(5+7)/2

x1=-1. x2=6

5. x²-5x-14=0

delta=(-5)²+4×14×1

delta=25+56

delta=81

x1=(5-9)/2. x2=(5+9)/2

x1=-2. x2=7