What are the solutions to the equation x^4-3x^3-13x^2+9x+30=0 ?

The solutions to the equation x^4-3x^3-13x^2+9x+30=0 are x=-2,x=5,x=-sqrt(3),x=sqrt(3)

Find the zeros of x^4-3x^3-13x^2+9x+30=0

The zeros of x^4-3x^3-13x^2+9x+30=0 are x=-2,x=5,x=-sqrt(3),x=sqrt(3)

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x^{4} - 3 x^{3} - 13 x^{2} + 9 x + 30 = 0

x = - 2, x = 5, x = - 3, x = 3

Decimal

x = - 2, x = 5, x = - 1.73205 \dots, x = 1.73205 \dots

Solution steps

x^{4} - 3 x^{3} - 13 x^{2} + 9 x + 30 = 0

Factor

x^{4} - 3 x^{3} - 13 x^{2} + 9 x + 30 : (x + 2) (x - 5) (x + 3) (x - 3)

(x + 2) (x - 5) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x - 5 = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 5 = 0 : x = 5

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = - 2, x = 5, x = - 3, x = 3

7 y^{5} - 3 y^{1} = 2 y^{2}

10 x^{3} - 23 x - 1 = 0

a^{2} - 24 a n^{2} x^{2} + 144 n^{4} x^{4}

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

2 x^{3} - 6 x^{2} - 3 x - 10

What are the solutions to the equation x^4-3x^3-13x^2+9x+30=0 ?
The solutions to the equation x^4-3x^3-13x^2+9x+30=0 are x=-2,x=5,x=-sqrt(3),x=sqrt(3)
Find the zeros of x^4-3x^3-13x^2+9x+30=0
The zeros of x^4-3x^3-13x^2+9x+30=0 are x=-2,x=5,x=-sqrt(3),x=sqrt(3)