What are the solutions to the equation x^4-9x^3+29x^2-39x+18=0 ?

The solutions to the equation x^4-9x^3+29x^2-39x+18=0 are x=1,x=2,x=3

Find the zeros of x^4-9x^3+29x^2-39x+18=0

The zeros of x^4-9x^3+29x^2-39x+18=0 are x=1,x=2,x=3

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x^{4} - 9 x^{3} + 29 x^{2} - 39 x + 18 = 0

x = 1, x = 2, x = 3

Solution steps

x^{4} - 9 x^{3} + 29 x^{2} - 39 x + 18 = 0

Factor

x^{4} - 9 x^{3} + 29 x^{2} - 39 x + 18 : (x - 1) (x - 2) (x - 3)^{2}

(x - 1) (x - 2) (x - 3)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 2 = 0 or x - 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

Solve

x - 3 = 0 : x = 3

The solutions are

x = 1, x = 2, x = 3

z^{4} + 8 z^{2} - 9 = 0

\frac{( x ^{5} + 50 )}{3} = 6

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

12 x^{4} - 20 x^{2} - 3 = 0

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

What are the solutions to the equation x^4-9x^3+29x^2-39x+18=0 ?
The solutions to the equation x^4-9x^3+29x^2-39x+18=0 are x=1,x=2,x=3
Find the zeros of x^4-9x^3+29x^2-39x+18=0
The zeros of x^4-9x^3+29x^2-39x+18=0 are x=1,x=2,x=3