Question

dê o conjunto solução das seguintes equações do 2⁰ grau em R

a 3x²+5x=0

b 4x²-12x=0

C x² = -X

d 7x²+14x = 0

e -2x²+10x = 0

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Answer 1

Explicação passo-a-passo:

$a)3x {}^{2} + 5x = 0 \\ x.(3x + 5) = 0 \\ x = 0 \\ 3x + 5 = 0 \\ 3x = - 5 \\ x = \frac{ - 5}{3}$

$b)4x {}^{2} - 12x = 0 \: \: \: \div 4$

$x {}^{2} - 12x = 0 \\ x.(x - 12) = 0 \\ x = 0 \\ x = 12$

$c)x {}^{2} = - x \\ x {}^{2} + x = 0 \\ x.(x + 1) = 0 \\ x = 0 \\ x = - 1$

$d)7x {}^{2} + 14x = 0 \: \: \div 7$

$x {}^{2} + 2x = 0 \\ x.(x + 2) =0 \\ x = 0 \\ x = - 2$

$e) - 2x {}^{2} + 10x = 0 \: \: \: \: \div - 2$

$x {}^{2} - 10x = 0 \\ x(x - 10) = 0 \\ x = 0 \\ x = 10$