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x₁ = (-b - √Δ)/2a
x₂ = (-b + √Δ)/2a
d)
3x² + x - 4 = 0
Δ = 1² - 4*3*(-4) = 1 + 48 = 49
√Δ = 7
x₁ = (-1 - 7)/6 = -8/6 = -2 1/3
x₂ = (-1 + 7)/6 = 6/6 = 1
e)
x² + x - 1 = 0
Δ = 1² - 4*1*(-1) = 1 + 4 = 5
√Δ = √5
x₁ = (-1 - √5)/2
x₂ = (-1 + √5)/2
f)
x² - 4x - 1 = 0
Δ = (-4)² - 4*1*(-1) = 16 + 4 = 20
√Δ = √20 = 2√5
x₁ = (4 - 2√5)/2 = 2 - √5
x₂ = (4 + 2√5)/2 = 2 + √5
Δ=1²-(4*3*(-4)=1-(-48)=1+48=49
√Δ=√49=7
x1=
x2=
e) x²+x-1=0
Δ=1²-(4*1*(-1)=1-(-4)=1+4=5
√Δ=√5
x1=
x2=
f) x²-4x-1=0
Δ=(-4)²-(4*1*(-1)=16-(-4)=16+4=20
√Δ=√20=√4*√5=2√5
x1=
x2=