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Mateus3164
@Mateus3164
July 2022
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Resolva As Seguintes Equações Do 2º Grau
1-) 7x²=-14x
2-) -2x²+10x=0
3-) x²+x(x-6)=0
4-) x(x+3)=5x
5-) x(x-3)-2(x-3)=6
6-) (x+5)²=25
7-) (x-2)²=4-9x
8-) (x+1)(x-3)=-3
9-) 2x²=8x
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Resolva As Seguintes Equações Do 2º GrauACHAR AS RAIZES
1-) 7x²=-14x (igualar a ZERO) (cuidado com o sinal)
7x² + 14x = 0 (equação do 2º grau INCOMPLETA)
7X² + 14X = 0
7X(X + 2) =0
7x = 0
x = 0/7
x = 0
e
(x + 2) = 0
x + 2 = 0
x = - 2
x' = 0
x" = - 2
2-) -2x²+10x=0
-2x² + 10x = 0
2x(-x + 5) = 0
2x = 0
x = 0/2
x = 0
e
(- x + 5) = 0
- x + 5 = 0
- x = - 5
x = (-)(-)5
x = + 5
x' = 0
x" = 5
3-) x²+x(x-6)=0 (fazer a distributiva( multiplicação)
x² + x(x - 6) = 0
x² + x² - 6x = 0
2x² - 6x = 0
2x(x - 6) = 0
2x = 0
x = 0/2
x = 0
e
(x - 6) = 0
x - 6 = 0
x = + 6
x' = 0
x" = 6
4-) x(x+3)=5x ( idem acima)
x(x + 3) = 5x
x² + 3x = 5x (igualar a ZERO)
x² + 3x - 5x = 0
x² - 2x = 0
x(x - 2) = 0
x = 0
e
( x - 2) = 0
x - 2 = 0
x = + 2
x' = 0
x" = 2
5-) x(x-3)-2(x-3)=6 ( idem acina)
x(x - 3) - 2(x - 3) = 6
x² - 3x - 2x + 6 = 6
x² - 5x + 6 = 6 ( igualar a ZERO)
x² - 5x + 6 - 6 = 0
x² - 5x + 0 = 0
x² - 5x = 0
x(x - 5) = 0
x=0
e
(x - 5) = 0
x - 5 = 0
x= + 5
x' = 0
x" = 5
6-) (x+5)²=25 atenção???
(x+ 5)² = 25
(x+5)(x+5) = 25
x² + 5x + 5x + 25 = 25
x² + 10x + 25 = 25 (igualar a ZERO)
x² + 10x + 25 - 25 = 0
x² + 10x + 0 = 0
x² + 10x = 0
x(x + 10) = 0
x = 0
e
(x + 10) = 0
x + 10 = 0
x = - 10
x' = 0
x" = - 10
7-) (x-2)²=4-9x (idem acima)
(x - 2)² = 4 - 9x
(x - 2)(x - 2) = 4 - 9x
x² - 2x - 2x + 4 = 4 - 9x
x² - 4x + 4 = 4 - 9x ) igualar a ZERO)
x² - 4x + 4 - 4 + 9x = 0 arrumar a casa
x² - 4x + 9x + 4 - 4 = 0
x² + 5x + 0= 0
x² + 5x = 0
x(x + 5) = 0
x = 0
e
( x + 5) = 0
x + 5 = 0
x = - 5
x' = 0
x" = - 5
8-) (x+1)(x-3)=-3 atenção nesse
( x+ 1)(x - 3) = - 3
x² - 3x + 1x - 3 = - 3
x² - 2x - 3 = - 3 (igualar a ZERO)
X² - 2X - 3 + 3 = 0
x² - 2x - 0 = 0
x² - 2x = 0
x(x -2) = 0
x = 0
e
( x - 2) = 0
x - 2 = 0
x = + 2
x' = 0
x" = 2
9-) 2x²=8x
2X² = 8X ( igualar a ZERO)
2x² - 8x = 0
2x(x - 4) = 0
2x = 0
x = 0/2
x = 0
e
( x- 4) = 0
x - 4 = 0
x = + 4
x' = 0
x" = 4
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Resolva As Seguintes Equações Do 2º GrauACHAR AS RAIZES1-) 7x²=-14x (igualar a ZERO) (cuidado com o sinal)
7x² + 14x = 0 (equação do 2º grau INCOMPLETA)
7X² + 14X = 0
7X(X + 2) =0
7x = 0
x = 0/7
x = 0
e
(x + 2) = 0
x + 2 = 0
x = - 2
x' = 0
x" = - 2
2-) -2x²+10x=0
-2x² + 10x = 0
2x(-x + 5) = 0
2x = 0
x = 0/2
x = 0
e
(- x + 5) = 0
- x + 5 = 0
- x = - 5
x = (-)(-)5
x = + 5
x' = 0
x" = 5
3-) x²+x(x-6)=0 (fazer a distributiva( multiplicação)
x² + x(x - 6) = 0
x² + x² - 6x = 0
2x² - 6x = 0
2x(x - 6) = 0
2x = 0
x = 0/2
x = 0
e
(x - 6) = 0
x - 6 = 0
x = + 6
x' = 0
x" = 6
4-) x(x+3)=5x ( idem acima)
x(x + 3) = 5x
x² + 3x = 5x (igualar a ZERO)
x² + 3x - 5x = 0
x² - 2x = 0
x(x - 2) = 0
x = 0
e
( x - 2) = 0
x - 2 = 0
x = + 2
x' = 0
x" = 2
5-) x(x-3)-2(x-3)=6 ( idem acina)
x(x - 3) - 2(x - 3) = 6
x² - 3x - 2x + 6 = 6
x² - 5x + 6 = 6 ( igualar a ZERO)
x² - 5x + 6 - 6 = 0
x² - 5x + 0 = 0
x² - 5x = 0
x(x - 5) = 0
x=0
e
(x - 5) = 0
x - 5 = 0
x= + 5
x' = 0
x" = 5
6-) (x+5)²=25 atenção???
(x+ 5)² = 25
(x+5)(x+5) = 25
x² + 5x + 5x + 25 = 25
x² + 10x + 25 = 25 (igualar a ZERO)
x² + 10x + 25 - 25 = 0
x² + 10x + 0 = 0
x² + 10x = 0
x(x + 10) = 0
x = 0
e
(x + 10) = 0
x + 10 = 0
x = - 10
x' = 0
x" = - 10
7-) (x-2)²=4-9x (idem acima)
(x - 2)² = 4 - 9x
(x - 2)(x - 2) = 4 - 9x
x² - 2x - 2x + 4 = 4 - 9x
x² - 4x + 4 = 4 - 9x ) igualar a ZERO)
x² - 4x + 4 - 4 + 9x = 0 arrumar a casa
x² - 4x + 9x + 4 - 4 = 0
x² + 5x + 0= 0
x² + 5x = 0
x(x + 5) = 0
x = 0
e
( x + 5) = 0
x + 5 = 0
x = - 5
x' = 0
x" = - 5
8-) (x+1)(x-3)=-3 atenção nesse
( x+ 1)(x - 3) = - 3
x² - 3x + 1x - 3 = - 3
x² - 2x - 3 = - 3 (igualar a ZERO)
X² - 2X - 3 + 3 = 0
x² - 2x - 0 = 0
x² - 2x = 0
x(x -2) = 0
x = 0
e
( x - 2) = 0
x - 2 = 0
x = + 2
x' = 0
x" = 2
9-) 2x²=8x
2X² = 8X ( igualar a ZERO)
2x² - 8x = 0
2x(x - 4) = 0
2x = 0
x = 0/2
x = 0
e
( x- 4) = 0
x - 4 = 0
x = + 4
x' = 0
x" = 4