What are the solutions to the equation x^4-6x^3+22x^2-30x+13=0 ?

The solutions to the equation x^4-6x^3+22x^2-30x+13=0 are x=1,x=2+3i,x=2-3i

Find the zeros of x^4-6x^3+22x^2-30x+13=0

The zeros of x^4-6x^3+22x^2-30x+13=0 are x=1,x=2+3i,x=2-3i

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x^{4} - 6 x^{3} + 22 x^{2} - 30 x + 13 = 0

x = 1, x = 2 + 3 i, x = 2 - 3 i

Solution steps

x^{4} - 6 x^{3} + 22 x^{2} - 30 x + 13 = 0

Factor

x^{4} - 6 x^{3} + 22 x^{2} - 30 x + 13 : (x - 1)^{2} (x^{2} - 4 x + 13)

(x - 1)^{2} (x^{2} - 4 x + 13) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x^{2} - 4 x + 13 = 0

Solve

x - 1 = 0 : x = 1

Solve

x^{2} - 4 x + 13 = 0 : x = 2 + 3 i, x = 2 - 3 i

The solutions are

x = 1, x = 2 + 3 i, x = 2 - 3 i

7 m^{3} - 14 m^{2} - 168 m = 0

1920 x^{3} + 3000 x^{2} - 400 = 0

5 = 3 - \frac{2}{7} c^{3} - 72 c, 25 = 2

4 x^{3} + 13 = 45

5 x (x - 1)^{2} = 1

What are the solutions to the equation x^4-6x^3+22x^2-30x+13=0 ?
The solutions to the equation x^4-6x^3+22x^2-30x+13=0 are x=1,x=2+3i,x=2-3i
Find the zeros of x^4-6x^3+22x^2-30x+13=0
The zeros of x^4-6x^3+22x^2-30x+13=0 are x=1,x=2+3i,x=2-3i