Question

What are the solutions of x2 + 10x + 16 = 0?

Answer 1

-2 -8 is the answer for this question x=-2 and x=-8

Answer 2

Answer:

x= -2 and x= -8

Step-by-step explanation:

Given: $x^2+10x+16=0$

Solution:

1) equation in standard form is  $ax^2+bx+c=0$

therefore, $x^2+10x+16=0$ is in standard form.

2) factors of the polynomial of the given equation is :

$(x+2)(x+8)$

3) zero product property sate that if a.b=0 then either a=0 or b=0

applying this property,

  $(x+2)(x+8)=0$

⇒either (x+2)=0 or (x+8)=0

⇒either x= -2 or x= -8

4) solving the equation we get, x= -2 and x= -8