Question

RóWNANIA KWADRATOWE POTRZEBNE NA TERAZ, GóRA NA JUTRO DO 7:00 ;// DAM NAJ! PROSZę O PEłNE ROZWIAZANIA, ZEBYM WIEDZIAłA CO SKAD SIE WZIEłO. BADZO MI ZALEżY!!!

Answer 1

x³+8x²+x+8 = 0

x(x²+1)+8(x²+1) = 0

(x²+1)(x+8) = 0

x²+1=0 x²=-1 x∉

x+8=0 x= -8

 

x²-3x-4 = 0

a=1 b=-3 c=-4

Δ = b²-4ac

Δ = (-3)²-4*1*(-4) = 9-4-4 = 1

√Δ = 1

x₁ = (-b-√Δ)/2a

x₁ = (3-1)/2 = 2/2 =1

x₂ = (-b+√Δ)/2a

x₂ = (3+1)/2 = 4/2 = 2

 

x³-125 = 0

(x-5)(x+5)(x+5) = 0

x-5=0 x=5

x+5=0 x=-5

 

16x²-5 = 0

a=16 b=0 c=-5

Δ = 0-4*16*(-5) = 320

√Δ = √320 = 8√5

x₁ = -8√5 / 32 = -1/4√5

x₂ = 8√5 / 32 = 1/4√5

 

x⁴-x+3x² = 0

x² = t

t²-x+3t = 0

a=1 b=3 c=-1

Δ = 3²-4*1*(-1) = 9+4 =13

√Δ = √13

t₁ = -3-√13 / 2

t₂ = -3+√13 / 2

x₁ = (-3-√13 / 2)² = 21+6√13 / 4

x₂ = (-3+√13 / 2)² = 21-6√13 / 4