Question

Escreva a equaçao que tem como raizes
A= 2 e -7
E= 7 e 7
H= -2 e 0
J= -2 e 2

Answer 1

Fórmula: (x - x')(x - x'')

a) x' = 2 e x'' = - 7
(x - 2)(x - (- 7))
(x - 2)(x + 7)
x^2 + 7x - 2x - 14
x^2 + 5x - 14

b) x' = 7 e x'' = 7
(x - 7)(x - 7)
x^2 - 7x - 7x + 49
x^2 - 14x + 49

c) x' = - 2 e x'' = 0
(x - (- 2))(x - 0)
(x + 2)(x)
x^2 + 2x

d) x' = - 2 e x'' = 2
(x - (- 2))(x - 2)
(x + 2)(x - 2)
x^2 - 2x + 2x - 4
x^2 - 4





Espero ter ajudado, bjs!

Answer 2

x² + 5x - 14= 0

a = 1         b = + 5          c = - 14

Δ = b² - 4.a.c

Δ = (5)² - 4.(1.(- 14)

Δ = 25 + 56

Δ = 81


x = [- b ± √Δ]/2.a

x = [ - (+5) ± √81]/2.1

x = [- 5 ± 9]/2

x' = [- 5 + 9]/2    =    + 4/2  =    2

x" = [- 5 - 9]/2   =   -14/2  = - 7


S:{ - 7 ;  2}



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b) x² - 14x + 49 = 0

a = 1         b = - 14        c = + 49

Δ = b² - 4.a.c

Δ = (-14)² - 4.(1.(+ 49)

Δ = 196 - 196

Δ = 0


x = [- b ± √Δ]/2.a

x = [ - (-14) ± √0]/2.1

x = [+14 ± 0]/2

x' = [14 + 0]/2    =   14/2 =    7

x" = [14 - 0 /2   =   14/2  =  7


S:{ 7 }


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c) x² + 2x = 0

x.(x + 2x) = 0

x = 0

(x + 2) = 0

x + 2 = 0

x = - 2

S:[- 2  ; 0]


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x² - 4 = 0

x² = + 4

x = ± √4

x = ± 2

S:{- 2  ;   + 2}