Answer:
x=4 orx=- 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4
x
=
−
x
2
+
32
Step 2: Subtract -x^2+32 from both sides.
4
x
−
(
−
x
2
+
32
)
=
−
x
2
+
32
−
(
−
x
2
+
32
)
x
2
+
4
x
−
32
=
0
Step 3: Factor left side of equation.
(
x
−
4
)
(
x
+
8
)
=
0
Step 4: Set factors equal to 0.
x
−
4
=
0
or
x
+
8
=
0
x
=
4
or
x
=
−
8
Answer:
f=1/x^2-81
Step-by-step explanation:
Step 1: Multiply both sides by x^2-81.
fx3−81fx=x
Step 2: Factor out variable f.
f(x3−81x)=x
Step 3: Divide both sides by x^3-81x.
f(x3−81x)
x3−81x
=x
x3−81x
f=
1
x2−81
Distance = speed rate x time
Speed rate = 120 miles per hour
Time = 3 hours
Replacing:
D = 120 mph x 3 h = 360 miles
5x-13=15+7x
-13=15+2x
-28=2x
-14=x