Answer:
Yes, see the explanation.
Roots:
x = , or x= -10
Step-by-step explanation:
A quadratic fomrual in standard form is;
ax^(2) + bx + c = 0
The given equation:
4x^2 = -9x - 4
Maniplate the equation using inverse operations
4x^2 = -9x - 4
-4x^2 -4x^2
0 = -4x^2 - 9x - 4
Yes, this is a quadratic equation, because it fits the requirement of being able to be written in standard form.
Now find its roots:
-4x^2 -9x - 4 = 0
remember,
x =
Substitute in the given values
x=
Simplify,
x =
x =
x =
or
x= -10