What are the solutions to the equation x^4-7x^3+18x^2-20x+8=0 ?

The solutions to the equation x^4-7x^3+18x^2-20x+8=0 are x=1,x=2

Find the zeros of x^4-7x^3+18x^2-20x+8=0

The zeros of x^4-7x^3+18x^2-20x+8=0 are x=1,x=2

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x^{4} - 7 x^{3} + 18 x^{2} - 20 x + 8 = 0

x = 1, x = 2

Solution steps

x^{4} - 7 x^{3} + 18 x^{2} - 20 x + 8 = 0

Factor

x^{4} - 7 x^{3} + 18 x^{2} - 20 x + 8 : (x - 1) (x - 2)^{3}

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

12 x^{3} - 24 x^{2} - 36 x = 0

4 x^{3} - 12 x + 1 = 0

x^{4} + 7 x^{2} + 12 = 0

5000 \cdot x^{10} = 8000

0 = x^{4} - 9 x^{2}

What are the solutions to the equation x^4-7x^3+18x^2-20x+8=0 ?
The solutions to the equation x^4-7x^3+18x^2-20x+8=0 are x=1,x=2
Find the zeros of x^4-7x^3+18x^2-20x+8=0
The zeros of x^4-7x^3+18x^2-20x+8=0 are x=1,x=2