Question

Rezolvati in R ecuatia
Va rog mult sa ma ajutati

Answer 1

a)2x²+x-6=0
Δ=b²-4ac=1²+4·2·1=1+8=9
x1=(-b+√Δ)/2a=(-1+3)/4=1/2
x2=(-1-3)/4=-1

d)2(x-1)²=3x+2
2(x²-2x+1)=3x+2
2x²-4x+2-3x-2=0
2x²-7x=0
x(2x-7)=0
x1=0
2x-7=0
x2=7/2

b)3x²+4x-4=0
Δ=16+48=64
x1=(-4+8)/6=4/6=2/3
x2=(-4-8)/6=-12/6=-2

c)(x-2)(x+3)=24
x²+3x-2x-6-24=0
x²+x-30=0
Δ=1+120=121
x1=(-1+11)/2=10/2=5
x2=(-1-11)/2=-12/2=-6

e)7-6x-9x²=8
-9x²-6x-8+7=0
-9x²-6x-1=0             inmultim -1
9x²+6x+1=0
Δ=36-36=0
x1=x2=-6/18=-1/3

f)(x-3)(x+2)=14
x²+2x-3x-6-14=0
x²-x-20=0
Δ=1+80=81
x1=(1-9)/2=-8/2=-4
x2=(1+9)/2=10/2=5