Question

Resolver las siguientes ecuaciones

a-
$2 {x}^{2} - 50 = 0$
b-
${x}^{2} + 3x = 0$
c-
$(x + 5).(x + 2) = 10$
​

Answer 1

a)

$2 {x}^{2} - 50 = 0$

$2( {x}^{2} - 25) = 0$

$2(x + 5)(x - 5) = 0$

$x = - 5 \\ x = + 5$

C.S = {-5;5}

b)

${x}^{2} + 3x = 0$

$x(x + 3) = 0$

$x = 0 \\ x = - 3$

C.S = {-3;0}

c)

$(x + 5)(x + 2) = 10$

${x}^{2} + 2x + 5x + 10= 10$

${x}^{2} + 7x + 10 - 10 = 0$

${x}^{2} + 7x= 0$

$x(x + 7) = 0$

$x = 0 \\ x = - 7$

C.S = {-7;0}