Respuesta :

ItsLeviosaaa
Start by breaking the polynomial into two binomials:

x^2 + 4x - 12 = 0 
(x+6)(x-2)=0

Now set each binomial equal to zero:

(x+6)=0
x=-6
(x-2)=0
x=2

So your answers are x=2 and x= -6

Answer:

x = 2 or x = -6

Step-by-step explanation:

Here the given equation is,

[tex]x^2 + 4x - 12 = 0[/tex]

By middle term spitting,

[tex]x^2+(6-2)x-12=0[/tex]

[tex]x^2+6x-2x-12=0[/tex]

[tex]x(x+6)-2(x+6)=0[/tex]

[tex](x-2)(x+6)=0[/tex]

By Zero product property,

[tex]x-2=0\text{ or }x + 6 = 0[/tex]

[tex]\implies x = 2\text{ or } x = -6[/tex]

Which is the solution of the given equation.

Third option is correct.

Otras preguntas