Question

Escreva na forma ax²+bx+c=0 cada equação do segundo grau

A) 5x²+7x=3x²+2x

B) x²+6x=5+3x

C) (2x-3).(x+4)-8x=10

D)(x-4)²=2x.(1-x)

E) (2x+1)²-3x²=5x+4

Answer 1

A) 5x²+7x=3x²+2x

5x²-3x²+7x-2x=0
2x²+5x=0
X(2x+5)=0
X=0
2x+5=0
2x=-5
X=-5/2
_______________

B) x²+6x=5+3x

X²+6x-3x-5=0
X²+3x-5=0
-3±|/(3)²-4×1×(-5)/2×1
-3±|/9+20/2
-3±|/29/2

-3-|/29/2
-3+|/29/2
__________________
C)(2x-3)(x+4)-8x=10

2x²+8x-3x-12-8x-10=0
2x²-3x-22=0
-(-3)±|/(-3)²-4×2×(-22)/2×2
3±|/9+176/4
3±|/185/4
3+|/185/4
3-|/185/4
_____________________
D) (x-4)²=2x(1-x)

(x-4)(x-4)=2x-2x²
X²-4x-4x+16-2x+2x²=0
3x²-10x+16=0
b²-4ac
(-10)²-4×3×16
100-192
-92
Não tem solução
____________________

E) (2x+1)²-3x²=5x+4
(2x+1)(2x+1)-3x²=5x+4
4x²+2x+2x+1-3x²-5x-4=0
X²-x-3=0
-(-1)±|/(-1)²-4×1×(-3)/2×1
1±|/1+12/2
1±|/13/2
1-|/13/2
1+|/13/2

Espero ter ajudado.

Answer 2

Resposta:

A) 5x²+7x=3x²+2x

5x²-3x²+7x-2x=0

2x²+5x=0

X(2x+5)=0

X=0

2x+5=0

2x=-5

X=-5/2

B) x²+6x=5+3x

X²+6x-3x-5=0

X²+3x-5=0

-3±|/(3)²-4×1×(-5)/2×1

-3±|/9+20/2

-3±|/29/2

-3-|/29/2

-3+|/29/2

C)(2x-3)(x+4)-8x=10

2x²+8x-3x-12-8x-10=0

2x²-3x-22=0

-(-3)±|/(-3)²-4×2×(-22)/2×2

3±|/9+176/4

3±|/185/4

3+|/185/4

3-|/185/4

D) não tem solução.

E) (2x+1)²-3x²=5x+4

(2x+1)(2x+1)-3x²=5x+4

4x²+2x+2x+1-3x²-5x-4=0

X²-x-3=0

-(-1)±|/(-1)²-4×1×(-3)/2×1

1±|/1+12/2

1±|/13/2

1-|/13/2

1+|/13/2

Espero ter ajudado:)