Answer:
Step-by-step explanation:A quadratic equation is an algebraic expression of the second degree in x.
The standard form of a quadratic equation is ax2 + bx + c = 0,
where a, b are the coefficients,
x is the variable, and
c is the constant term.
Given, the quadratic equation is 0 = -x2 - 6x - 8.
We have to find the solutions of the equation.
Using the quadratic formula,
x
=
−
b
±
√
b
2
−
4
a
c
2
a
Here, a = -1, b = -6 and c = -8
x
=
−
(
−
6
)
±
√
(
−
6
)
2
−
4
(
−
1
)
(
−
8
)
2
(
−
1
)
x
=
6
±
√
36
−
32
−
2
x
=
6
±
√
4
−
2
x
=
6
±
2
−
2
x
=
6
+
2
−
2
=
8
−
2
=
−
4
x
=
6
−
2
−
2
=
4
−
2
=
−
2
Therefore, the solutions of the quadratic equation are x = -2 and x = -4.
