Rezolvati in R ecuatia:a) x²-4x=12
b)4x²+12x=16
c)9x²-6x=120
d)x²+10x=24
Răspunsuri la întrebare
Răspuns de
3
a) x^2-4x-12=0 (ec de gradul 2)
calculezi delta si apoi x1, x2
asa procedezi la toate
sper ca te-am ajutat cat de cat...
Răspuns de
11
a) x²-4x=12x²-4x-12=0
Δ=16+48=64
x₁=(4-8)/8=-4/8=-1/2
x₂=(4+8)/8=12/8==3/2
b)4x²+12x=16
4x²+12x-16=0 :4
x²+3x-4=0
Δ=9+16=25
x₁=(-3+5)/2=2/2=1
x₂=(-3-5)/2=-8/2=-4
c)9x²-6x=120
9x²-6x-120=0 :3
3x²-2x-40=0
Δ=4+480=484
x₁=(2-22)/6=-20/6=-10/3
x₂=(2+22)/6=24/6=4
d)x²+10x=24
x²+10x-24=0
Δ=100+96=196
x₁=(-10+14)/2=4/2=2
x₂=(-10-14)/2=-24/2=-12
Δ=16+48=64
x₁=(4-8)/8=-4/8=-1/2
x₂=(4+8)/8=12/8==3/2
b)4x²+12x=16
4x²+12x-16=0 :4
x²+3x-4=0
Δ=9+16=25
x₁=(-3+5)/2=2/2=1
x₂=(-3-5)/2=-8/2=-4
c)9x²-6x=120
9x²-6x-120=0 :3
3x²-2x-40=0
Δ=4+480=484
x₁=(2-22)/6=-20/6=-10/3
x₂=(2+22)/6=24/6=4
d)x²+10x=24
x²+10x-24=0
Δ=100+96=196
x₁=(-10+14)/2=4/2=2
x₂=(-10-14)/2=-24/2=-12
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