Question

Rozwiąż rownanie

a) x^2 - 81 = 0

b) x^2 +3x +4 = 0

c) x^2 +4x +4 = 0

Answer 1

Potrzebane wzory:

Δ = b²-ac

x₁ = -b -√Δ/2a

x₂ = -b + √Δ/2a

 

a)

x² - 81 = 0

(x+9)(x-9) = 0

x = -9 ∨ x = 9

 

b)

x² + 3x + 4 = 0

 

Δ = 3² - 4 x 1 x 4 = 9 - 16 = -7

Δ < 0 więc równanie nie ma rozwiązań

 

c)

x² + 4x + 4 = 0

 

Δ = 4² - 4 x 1 x 4 = 16 - 16 = 0

√Δ = √0 = 0

 

x = -(-4)/2*1 = -2

 

 

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