What are the solutions to the equation A^4-5A^3+2A^2+8A=0 ?

The solutions to the equation A^4-5A^3+2A^2+8A=0 are A=0,A=-1,A=2,A=4

Find the zeros of A^4-5A^3+2A^2+8A=0

The zeros of A^4-5A^3+2A^2+8A=0 are A=0,A=-1,A=2,A=4

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A^{4} - 5 A^{3} + 2 A^{2} + 8 A = 0

A = 0, A = - 1, A = 2, A = 4

Solution steps

A^{4} - 5 A^{3} + 2 A^{2} + 8 A = 0

Factor

A^{4} - 5 A^{3} + 2 A^{2} + 8 A : A (A + 1) (A - 2) (A - 4)

A (A + 1) (A - 2) (A - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

A = 0 or A + 1 = 0 or A - 2 = 0 or A - 4 = 0

Solve

A + 1 = 0 : A = - 1

Solve

A - 2 = 0 : A = 2

Solve

A - 4 = 0 : A = 4

The solutions are

A = 0, A = - 1, A = 2, A = 4

3 - 3 x^{5} = 0

70 x^{4} - 181 x^{3} + 116 x^{2} + x = 6

2 x^{3} - 3 x^{2} - 8 x + 12 = 0

x^{4} - 5 x^{2} = - 4

x^{3} = x + 8

What are the solutions to the equation A^4-5A^3+2A^2+8A=0 ?
The solutions to the equation A^4-5A^3+2A^2+8A=0 are A=0,A=-1,A=2,A=4
Find the zeros of A^4-5A^3+2A^2+8A=0
The zeros of A^4-5A^3+2A^2+8A=0 are A=0,A=-1,A=2,A=4