What are the solutions to the equation x^4+x^3+7x^2+9x-18=0 ?

The solutions to the equation x^4+x^3+7x^2+9x-18=0 are x=1,x=-2,x=3i,x=-3i

Find the zeros of x^4+x^3+7x^2+9x-18=0

The zeros of x^4+x^3+7x^2+9x-18=0 are x=1,x=-2,x=3i,x=-3i

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x^{4} + x^{3} + 7 x^{2} + 9 x - 18 = 0

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

Solution steps

x^{4} + x^{3} + 7 x^{2} + 9 x - 18 = 0

Factor

x^{4} + x^{3} + 7 x^{2} + 9 x - 18 : (x - 1) (x + 2) (x^{2} + 9)

(x - 1) (x + 2) (x^{2} + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 2 = 0 or x^{2} + 9 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x^{2} + 9 = 0 : x = 3 i, x = - 3 i

The solutions are

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

x^{9} - 1 = 0

2 a^{3} - 3 a^{2} + 1 = 0

x^{5} + x^{3} + x - 3 = 0

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

2 x^{4} - 5 x^{2} + 36 = x^{4} + 8 x^{2}

What are the solutions to the equation x^4+x^3+7x^2+9x-18=0 ?
The solutions to the equation x^4+x^3+7x^2+9x-18=0 are x=1,x=-2,x=3i,x=-3i
Find the zeros of x^4+x^3+7x^2+9x-18=0
The zeros of x^4+x^3+7x^2+9x-18=0 are x=1,x=-2,x=3i,x=-3i