George C.
Jul 24, 2018
(
x
+
2
)
(
x
+
6
)
2
=
0
Explanation:
Given:
x
3
+
14
x
2
+
60
x
+
72
=
0
By the rational roots theorem, any rational zeros of the given cubic are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
72
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
3
,
±
4
,
±
6
,
±
8
,
±
9
,
±
12
,
±
18
,
±
24
,
±
36
,
±
72
In addition, note that all of the coefficients are positive and the constant term is non-zero. As a result, any real zero (rational or otherwise) of this cubic must be negative.
So that leaves rational possibilities:
−
1
,
−
2
,
−
3
,
−
4
,
−
6
,
−
8
,
−
9
,
−
12
,
−
18
,
−
24
,
−
36
,
−
72
We find:
(
−
2
)
3
+
14
(
−
2
)
2
+
60
(
−
2
)
+
72
=
−
8
+
56
−
120
+
72
=
0
So
x
=
−
2
is a zero and
(
x
+
2
)
a factor:
x
3
+
14
x
2
+
60
+
72
=
(
x
+
2
)
(
x
2
+
12
x
+
36
)
Without trying any more of our "possible" zeros, we can recognise the remaining quadratic factor as a perfect square trinomial:
x
2
+
12
x
+
36
=
x
2
+
2
(
x
)
(
6
)
+
6
2
=
(
x
+
6
)
2
So the factored form of the given cubic equation can be written:
(
x
+
2
)
(
x
+
6
)
2
=
0
Odpowiedź:
-51
Wyjaśnienie krok po kroku:
Oblicz -12 + 4 * (- 11) - (- 5)
Biorąc pod uwagę wyrażenie
-12 + 4 * (- 11) - (- 5)
Korzystanie z PEDMAS
nawias pierwszy
-12 + 4 * (- 11) +5
Ich mnożenie
-12-44 + 5
Podsumowując
-56 + 5
= -51
Answer:
A
Step-by-step explanation:
That's the formula for the solution of a quadratic equation, like this:
The formula is:
In your case:
The only answer that has c = -2 is the first one, A.
If you move the 5 to the left-hand side, it becomes -5 and with the +3 gives a -2.
Answer:
1. 
= 3.143
2. Circumference
3. Area of the circle is 3850 
.
ii. Circumference of the circle is 220 cm.
Step-by-step explanation:
The area, A, and the circumference, c, of a circle can be determined respectively by:
A = 
C = 2r
where r is the radius of the circle.
1. the ratio of the circumference and diameter, D, of a circle is:
r = 
so that,
C = 2
C = D
=
= 
= 3.143
2. The distance around a circular region is known as it's circumference.
3. Given a circle of radius 35 cm, then:
A =
= x 
= x 1225
= 22 x 175
A = 3850
Area of the circle is 3850 .
C = 2r
= 2 x x 35
= 2 x 22 x 5
= 220
C = 220 cm
Circumference of the circle is 220 cm.
