Question

resolva as equacao de 2° grau incompleta
A) 3 X² + 15 X= 0
B) X² + 8X =0
C) 6 X² + 12X = 0
D) 5 X² - 30X = 0
E) 7 X² + 42 X = 0
F) 10 X² + 50 X= 0
G) 3 X² - 27 X = 0​

Answer 1

Explicação passo-a-passo:

$respostas \\ a)x \frac{}{1} = - 5.x \frac{}{2} = 0 \\ \\ b)x\frac{}{1} = - 8.x \ \frac{}{2} = 8 \\ \\ c)x \ \frac{}{1} = - 2.x \frac{}{2} = 0\\ \\ d)x \frac{}{1} = 0.x \frac{}{2} = 6 \\\\ e)x \frac{}{1} = - 6.x \frac{}{2} = 0 \\ \\ f)x \frac{}{1} = - 5.x \frac{}{2} = 0\\ \\ g)x\frac{}{1} = 0.x\frac{}{2} = 0$

Explicação passo a passo das contas

A)3x^2 +15x=0

3x^2 +15x=0

3x×(x+5)=0

3x×(x+5)÷3=0÷3

x×(x+5)÷3=0÷3

3x×(x+5)÷3=0÷3

x×(x+5)=0

3x×(x+5)=0

x×(x+5)=0

x=0

x+5=0

x+5-5=0-5

x=0-5

x+5-5=0-5

x=-5

x=0

x+5=0

x=0

x=-5

x =-5,x =0

1 2

B)x^2 +8x=0

x^2 +8x=0

x×(x+8)=0

x=0

x+8=0

x+8-8=0-8

x=0-8

x+8÷8=0-8

x=-8

x=0

x+8=0

x=0

x=-8

x =-8,x =0

1 2

C)6x^2 +12x=0

6x^2 +12x=0

6x×(x+12)=0

6x×(x+2)÷6=0÷6

x×(x+2)=0÷6

6x×(x+2)÷6=0÷6

x×(x+2)=0

6x×(x+2)=0

x×(x+2)=0

x=0

x+2=0

x+2-2=0-2

x=0-2

x+2-2=0-2

x=-2

x=0

x+2=0

x=0

x=-2

x =-2,x =0

1 2

D)5x^2 -30x=0

5x^2 -30x=0

5x×(x-6)=0

5x×(x-6)÷5=0÷5

x×(x-6)=0÷5

5x×(x-6)÷5=0÷5

x×(x-6)=0

5x×(x-6)=0

x×(x-6)=0

x=0

x-6=0

x-6+6=0+6

x=0+6

x-6+6=0+6

x=6

x=0

x=6-=0

x=0

x=6

x, =0,x =6

1 2

E)7x^2 +42x=0

7x^2 +42x=0

7x×(x+6)=0

7x×(x+6)÷7=0÷7

x×(x+6)=0÷7

7x×(x+6)÷7=0÷7

x×(x+6)=0

7x×(x+6)=0

x×(x+6)=0

x=0

x+6=0

x+6-6=0-6

x=0-6

x+6-6=0-6

x=-6

x=0

x+6=0

x=0

x=-6

x =-6,x =0

1 2

F)10x^2 +50x=0

10x^2 +50x=0

10x×(x+5)=0

10x×(x+5)÷10=0÷10

x×(x+5)=0÷10

10x×(x+5)÷10=0÷10

x×(x+5)=0

10x×(x+5)=0

x×(x+5)=0

x=0

x+5=0

x+5-5=0-5

x=0-5

x+5-5=0-5

x=-5

x=0

x+5=0

x=0

x=-5

x =-5, x =0

1 2

G)3x^2 -27x=0

3x^2 -27x=0

3x×(x-9)=0

3x×(x-9)÷3=0÷3

x×(x-9)=0÷3

3x×(x-9)÷3=0÷3

x×(x-9)=0

3x×(x-9)=0

x×(x-9)=0

x=0

x-9=0

x-9+9=0+9

x=0+9

x-9+9=0+9

x=9

x=0

x-9=0

x=0

x=9

x=0,x =0

1 2

Explicação passo a passo

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