quadratic equations can be soled by 3 methods
factorization
completing square
quadratic formula
but factorization is the simplest
Answer:
x<10
Step-by-step explanation:
Add '-7' to each side of the equation.
7 + -7 + -0.3x = 4 + -7
Combine like terms: 7 + -7 = 0
0 + -0.3x = 4 + -7
-0.3x = 4 + -7
Combine like terms: 4 + -7 = -3
-0.3x = -3
Divide each side by '-0.3'.
x = 10
Simplifying
x = 10
Answer: ok i did :)
Step-by-step explanation: how are you?
Answer:
the answer is
x + y + z = 180 degrees
proof
the sum of all angles in the triangles is always equal to 180 degrees
Step-by-step explanation:
You find the eigenvalues of a matrix A by following these steps:
- Compute the matrix
, where I is the identity matrix (1s on the diagonal, 0s elsewhere) - Compute the determinant of A'
- Set the determinant of A' equal to zero and solve for lambda.
So, in this case, we have
![A = \left[\begin{array}{cc}1&-2\\-2&0\end{array}\right] \implies A'=\left[\begin{array}{cc}1&-2\\-2&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right]=\left[\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26-2%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D%20%5Cimplies%20A%27%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26-2%5C%5C-2%260%5Cend%7Barray%7D%5Cright%5D-%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Clambda%260%5C%5C0%26%5Clambda%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1-%5Clambda%26-2%5C%5C-2%26-%5Clambda%5Cend%7Barray%7D%5Cright%5D)
The determinant of this matrix is
Finally, we have
So, the two eigenvalues are
