What are the solutions to the equation x^4-5x^3-15x^2+5x+14=0 ?

The solutions to the equation x^4-5x^3-15x^2+5x+14=0 are x=-1,x=1,x=-2,x=7

Find the zeros of x^4-5x^3-15x^2+5x+14=0

The zeros of x^4-5x^3-15x^2+5x+14=0 are x=-1,x=1,x=-2,x=7

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x^{4} - 5 x^{3} - 15 x^{2} + 5 x + 14 = 0

x = - 1, x = 1, x = - 2, x = 7

Solution steps

x^{4} - 5 x^{3} - 15 x^{2} + 5 x + 14 = 0

Factor

x^{4} - 5 x^{3} - 15 x^{2} + 5 x + 14 : (x + 1) (x - 1) (x + 2) (x - 7)

(x + 1) (x - 1) (x + 2) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 1 = 0 or x + 2 = 0 or x - 7 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 : x = - 2

Solve

x - 7 = 0 : x = 7

The solutions are

x = - 1, x = 1, x = - 2, x = 7

x, x^{3} - 3 y^{2} + 3 y - 1 = 0

3 x^{3} - 15 x^{2} = 0

- x^{3} - 6 x^{2} + 6 x + 28 = 0

x^{5} - 6 x^{4} + 11 x^{3} - 6 x^{2} = 0

\frac{x ^{3} + 13}{2} = 20

What are the solutions to the equation x^4-5x^3-15x^2+5x+14=0 ?
The solutions to the equation x^4-5x^3-15x^2+5x+14=0 are x=-1,x=1,x=-2,x=7
Find the zeros of x^4-5x^3-15x^2+5x+14=0
The zeros of x^4-5x^3-15x^2+5x+14=0 are x=-1,x=1,x=-2,x=7