I don’t know if you have to use a variable or not…
3+3+3+3+3+3+3+3+3+3+3+3+3=
2 answers:
You might be interested in
Answer:
a) zeros of the function are x = 1 and, x = -1
b) zeros of the function are x = 2 and, x = 4
c) zeros of the function are x =
d) zeros of the function are x = and, x = 17
Step-by-step explanation:
Zeros of the function are the values of the variable that will lead to the result of the equation being zero.
Thus,
a) f(x)= (x +1)(x − 1)(x² +1)
now,
for the (x +1)(x − 1)(x² +1) = 0
the condition that must be followed is
(x +1) = 0 ..........(1)
or
(x − 1) = 0 ..........(2)
or
(x² +1) = 0 ...........(3)
considering the equation 1, we have
(x +1) = 0
or
x = -1
for
(x − 1) = 0
x = 1
and,
for (x² +1) = 0
or
x² = -1
or
x = √(-1) (neglected as it is a imaginary root)
Thus,
zeros of the function are x = 1 and, x = -1
b) g(x) = (x − 4)³(x − 2)⁸
now,
for the (x − 4)³(x − 2)⁸ = 0
the condition that must be followed is
(x − 4)³ = 0 ..........(1)
or
(x − 2)⁸ = 0 ..........(2)
considering the equation 1, we have
(x − 4)³ = 0
or
x -4 = 0
or
x = 4
and,
for (x − 2)⁸ = 0
or
x - 2 = 0
or
x = 2
Thus,
zeros of the function are x = 2 and, x = 4
c) h(x) = (2x − 3)⁵
now,
for the (2x − 3)⁵ = 0
the condition that must be followed is
(2x − 3)⁵ = 0
or
2x - 3 = 0
or
2x = 3
or
x =
Thus,
zeros of the function are x =
d) k(x) =(3x +4)¹⁰⁰(x − 17)⁴
now,
for the (3x +4)¹⁰⁰(x − 17)⁴ = 0
the condition that must be followed is
(3x +4)¹⁰⁰ = 0 ..........(1)
or
(x − 17)⁴ = 0 ..........(2)
considering the equation 1, we have
(3x +4)¹⁰⁰ = 0
or
(3x +4) = 0
or
3x = -4
or
x =
and,
for (x − 17)⁴ = 0
or
x - 17 = 0
or
x = 17
Thus,
zeros of the function are x = and, x = 17
Answer:
1. 13 or -13
2. -5 < y < -3
3. 6 or -6
4. 1/8 or -1/8
Step-by-step explanation:
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x|
For the Negative case we'll use -(x)
For the Positive case we'll use (x)
Step 3 :
Solve the Negative Case
-(x) = 13
Multiply
-x = 13
Multiply both sides by (-1)
x = -13
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x) = 13
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-13
x=13
But for the case of question (2) its a different pattern..
Since this is a "less than" absolute-value inequality, my first step is to clear the absolute value according to the "less than" pattern. Then I'll solve the linear inequality.
| y + 4 | < 1
–1 < y + 4 < 1
This is the pattern for "less than". Continuing, I'll subtract 3 from all three "sides" of the inequality:
–1 – 4 < y + 4 - 4 < 1 – 4
–5 < y < -3
The solution to the original absolute-value inequality, | y + 4 | < 1 , is the interval: