What are the solutions to the equation x^4-5x^3+9x^2-7x+2=0 ?

The solutions to the equation x^4-5x^3+9x^2-7x+2=0 are x=1,x=2

Find the zeros of x^4-5x^3+9x^2-7x+2=0

The zeros of x^4-5x^3+9x^2-7x+2=0 are x=1,x=2

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x^{4} - 5 x^{3} + 9 x^{2} - 7 x + 2 = 0

x = 1, x = 2

Solution steps

x^{4} - 5 x^{3} + 9 x^{2} - 7 x + 2 = 0

Factor

x^{4} - 5 x^{3} + 9 x^{2} - 7 x + 2 : (x - 1)^{3} (x - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

The solutions are

x = 1, x = 2

2 x^{4} = 2000 x

x^{3} - 30 x^{2} + 297 x - 972 = 0

x^{2} (x + 2) = 0

x^{3} = 1 + 14 x

x^{4} + 9 x^{2} + 14 = 0

What are the solutions to the equation x^4-5x^3+9x^2-7x+2=0 ?
The solutions to the equation x^4-5x^3+9x^2-7x+2=0 are x=1,x=2
Find the zeros of x^4-5x^3+9x^2-7x+2=0
The zeros of x^4-5x^3+9x^2-7x+2=0 are x=1,x=2