SOLUTION: Solve the equation for x.
|3x x|
|16x x|=35
The solution set is
Algebra.Com
Question 1194066: Solve the equation for x.
|3x x|
|16x x|=35
The solution set is
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!
We have a 2 by 2 matrix on the left hand side. We are applying the determinant to it because of the vertical bars.
The determinant of
is
This only works for 2 by 2 matrices.
We compute the product of the diagonals, then subtract those products.
In the case of
the determinant is
Set this equal to the 35 and solve for x.
or
or
We see that the solution set consists of nonreal complex numbers of the form a+bi, where
If your teacher has not covered imaginary numbers or complex numbers just yet, then the answer would be "no real solutions".
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