Question

(x + 2)2 + x = 0
3x2 = 2(x - 1)2 + 3​

Answer 1

Resposta:

a)x'=-1

x"=-4

b)x'=-7

x"=3

Explicação:

a) (x + 2)² + x = 0

x²+4x+4+x

x²+5x+4

Δ=(5)²-4(1)(4)

Δ=25-16

Δ=9

x=$\frac{-(5)+/-\sqrt{9} }{2*1}$

x=$\frac{-5+/-3}{2}$

x'=$\frac{-5+3}{2}$

x'=-2/2

x'=-1

x"=$\frac{-5-3}{2}$

x"=-8/2

x"=-4

b) 3x² = 2(x - 1)² + 3​

3x²=2(x²-2x+9)+3

3x²=2x²-4x+18+3

3x²=2x²-4x+21

3x²-2x²+4x-21=0

x²+4x-21=0

Δ=(4)²-4(1)(-21)

Δ=16+84

Δ=100

x=$\frac{-(4)+/-\sqrt{100} }{2*1}$

x=$\frac{-4+/-10}{2}$

x'=$\frac{-4-10}{2}$

x'=-14/2

x'=-7

x"=$\frac{-4+10}{2}$

x"=6/2

x"=3