Question

DIN SUFLEET ROOG!!! DAU URGENT COROANA!!! Multumesc

Answer 1

1. a) x+1= (x-5)^2
x+1=x^2-10x+25
x^2-11x+24=0
delta= 121-96=25
x1= (11+5):2=8
x2=(11-5):2=3
b)x-1=(x-7)^2
x-1= x^2-14x+49
x^2-15×+48=0
delta= 225-192= 33
x1, x2=(15+/- radical din 33):2
c)x+1=(2x+1)^2
x+1= 4x^2+4x+1
4x^2+3x=0
x (4x+3)=0
x=0 sau 4x+3=0
×=-3/4
d)x^2-3x+4=(2+x)^2
x^2-3x+4=4+4x+x^2
x=0
e)17+2x-3x^2=(x+1)^2
17+2x-3x^2= x^2+2x+1
4x^2-16=0
x^2=4
x=1 sau x=-1
f)x^2+2x+10= (2x-1)^2
x^2+2x+10= 4x^2-4x+1
3x^2-6x-9=0
x^2-2x-3=0
delta= 4+12=16
x1=(2+4):2=3
x2=(2-4):2=-16

2. a) (1-x)^2 radical (2x-5)=0
( 1-x)^2=0 sau radical (2x-5)=0
1-2x+x^2=0 2x-5=0
delta= 4-4=0 x=5/2
x1=x2=1

b) (3x^2-x-2) radical (1-4x)=0
3x^2-x-2=0 sau radical (1-4x)=0
delta = 1+24=25 x=1/4
x1=(1+5):6=1
x2=(1-5):6=-5/6

c) (1-3x) radical (x^2-2x+1)=0
1-3x=0 sau radical (x^2-2x+1)=0
x=1/3 x^2-2x+1=0
delta = 4-4=0
x1=x2=1

d)(x^2-5x+6)radical (2x^2-x-3)=0
x^2-5x+6=0 sau radical ( 2x^2-x-3)=0
delta=25-24=1 2x^2-x-3=0
x1=(5+1):2= 3 delta=1-24= 25
x2=(5-1):2= 2 x1=(1+5):4=3/3
x2=(1-5):4=-1