Place the following steps in order to complete the square and solve the quadratic equation,
1 answer:
You might be interested in
F(x) = -4x^7 +x^3 -x^2 +5
a) It is a degree 7 polynomial, so will have 7 zeros (some may be repeated).
b) has 3 sign changes, so 1 or 3 positive real zeros. If odd powers have their signs reversed, the signs are changed to +--+, so there are 2 sign changes. There will be 0 or 2 negative real zeros.
____
There is actually 1 positive real zero and 0 negative real zeros. This means there are 3 conjugate pairs of complex zeros.
a) It is a degree 7 polynomial, so will have 7 zeros (some may be repeated).
b) has 3 sign changes, so 1 or 3 positive real zeros. If odd powers have their signs reversed, the signs are changed to +--+, so there are 2 sign changes. There will be 0 or 2 negative real zeros.
____
There is actually 1 positive real zero and 0 negative real zeros. This means there are 3 conjugate pairs of complex zeros.
Rewrite equation so that it is homogeneous .
Solve characteristic equation:
The solutions to the homogeneous equation are:
Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
Solve characteristic equation:
The solutions to the homogeneous equation are:
Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.