Step 1
8 divided by \(\displaystyle{\left({x}^{2}+{x}+{1}\right)}={1}\)
This means,
\(\displaystyle{8}\text{/}{\left({x}^{2}+{x}+{1}\right)}={1}\)
Hence, \(\displaystyle{8}={x}^{2}+{x}+{1}\)
Step 2
Let's plot two graphs:
\(y = 8\)
and \(\displaystyle{y}={x}^{2}+{x}+{1}\)
There are two solutions (the points of intersection):
\(x =\ -3.19\) (smaller value)
\(x = 2.19\) ( larger value)
Question
Equation: 8 divided by displaystyle{left({x}^{2}+{x}+{1}right)}={1} Use crossing graphs method to solve the above equation. There are 2 solutions. Rou
Answers (1)
2021-02-20
Relevant Questions
asked 2021-02-06
Given \(\displaystyle \csc{{\left({t}\right)}}={\left[\frac{{-{12}}}{{{7}}}\right]}\ \text{and}\ \displaystyle{\left[{\left(-\frac{\pi}{{2}}\right)}<{t}<{\left(\frac{\pi}{{2}}\right)}\right]}\) .
Find \(\sin\ t,\ \cos\ t\ \text{and}\ \tan\ t.\) Give exact answers without decimals.
asked 2021-03-09
Given \(\displaystyle \sin{{\left(\alpha\right)}}=\frac{4}{{9}}{\quad\text{and}\quad}\pi\text{/}{2}<\alpha<\pi\),
find the exact value of \(\displaystyle \sin{{\left(\alpha\text{/}{2}\right)}}.\)
asked 2021-05-19
For digits before decimals point, multiply each digit with the positive powers of ten where power is equal to the position of digit counted from left to right starting from 0.
For digits after decimals point, multiply each digit with the negative powers of ten where power is equal to the position of digit counted from right to left starting from 1.
1) \(10^{0}=1\)
2) \(10^{1}=10\)
3) \(10^{2}=100\)
4) \(10^{3}=1000\)
5) \(10^{4}=10000\)
And so on...
6) \(10^{-1}=0.1\)
7) \(10^{-2}=0.01\)
8) \(10^{-3}=0.001\)
9) \(10^{-4}=0.0001\)
For digits after decimals point, multiply each digit with the negative powers of ten where power is equal to the position of digit counted from right to left starting from 1.
1) \(10^{0}=1\)
2) \(10^{1}=10\)
3) \(10^{2}=100\)
4) \(10^{3}=1000\)
5) \(10^{4}=10000\)
And so on...
6) \(10^{-1}=0.1\)
7) \(10^{-2}=0.01\)
8) \(10^{-3}=0.001\)
9) \(10^{-4}=0.0001\)
asked 2021-06-10
Determine whether the given set S is a subspace of the vector space V.
A. V=\(P_5\), and S is the subset of \(P_5\) consisting of those polynomials satisfying p(1)>p(0).
B. \(V=R_3\), and S is the set of vectors \((x_1,x_2,x_3)\) in V satisfying \(x_1-6x_2+x_3=5\).
C. \(V=R^n\), and S is the set of solutions to the homogeneous linear system Ax=0 where A is a fixed m×n matrix.
D. V=\(C^2(I)\), and S is the subset of V consisting of those functions satisfying the differential equation y″−4y′+3y=0.
E. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying f(a)=5.
F. V=\(P_n\), and S is the subset of \(P_n\) consisting of those polynomials satisfying p(0)=0.
G. \(V=M_n(R)\), and S is the subset of all symmetric matrices
A. V=\(P_5\), and S is the subset of \(P_5\) consisting of those polynomials satisfying p(1)>p(0).
B. \(V=R_3\), and S is the set of vectors \((x_1,x_2,x_3)\) in V satisfying \(x_1-6x_2+x_3=5\).
C. \(V=R^n\), and S is the set of solutions to the homogeneous linear system Ax=0 where A is a fixed m×n matrix.
D. V=\(C^2(I)\), and S is the subset of V consisting of those functions satisfying the differential equation y″−4y′+3y=0.
E. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying f(a)=5.
F. V=\(P_n\), and S is the subset of \(P_n\) consisting of those polynomials satisfying p(0)=0.
G. \(V=M_n(R)\), and S is the subset of all symmetric matrices
