Respuesta :

The solutions of the equation are [tex]x=-2[/tex] and [tex]x=-8[/tex]

Explanation:

Given that the equation is [tex]x^{2} +10x+16=0[/tex]

We need to determine the solutions of the equation.

The solution can be determined by factoring the equation.

Thus, we have,

[tex]x^{2} +10x+16=0[/tex]

[tex](x+2)(x+8)=0[/tex]

Simplifying, we get,

[tex]x=-2[/tex] and [tex]x=-8[/tex]

Thus, the solutions of the equation are [tex]x=-2[/tex] and [tex]x=-8[/tex]

Now, we shall write the equation in standard form.

The equation in standard form is given by

[tex]ax^{2} +bx+c=0[/tex]

Hence, the equation [tex]x^{2} +10x+16=0[/tex] is in standard form.