Quadratic formula of -24x = 6x^2
1 answer:
Answer:
x = 4
Step-by-step explanation:
Well, while this is not a full quadratic equation, this can still be worked with, so let's get started.
Taking , we can simplify this just to make it a bit more professional, to say
(We can do this because of the Symmetric Property of Equality, which states that a=b then b=a).
Now, we can really start by dividing both sides by 6, to get , and then divide both sides by x to get
.
So, the answer of this quadratic equation is x = 4.
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Answer: The answers are given below.
Step-by-step explanation: Given that a 3 × 3 matrix P satisfies the matrix equation P² = P.
We are to
(a) find the possibilities for the determinant of P.
(b) explain the reason behind there are no other possibilities.
(c) give an example of P, for each possible determinant.
(a) According to the given information, we have
So, P can be either a zero matrix of order 3 or an identity matrix of order 3.
If P = 0, then det(P) = 0 and if P = I, then det(P) = 1.
Therefore the possible determinants of P are 0 and 1.
(b) There can be any other determinant other than 0 and 1, because if so, then the given equation P² = P will not be satisfied.
(c) If |P| = 0, then the matrix P can be can be of the form as follows:
If |P| = 1, the the matrix P can be of the form as follows :
Thus, all the parts are answered.
