What are the solutions to the equation x^4-8x^3+14x^2+8x-15=0 ?

The solutions to the equation x^4-8x^3+14x^2+8x-15=0 are x=-1,x=1,x=3,x=5

Find the zeros of x^4-8x^3+14x^2+8x-15=0

The zeros of x^4-8x^3+14x^2+8x-15=0 are x=-1,x=1,x=3,x=5

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x^{4} - 8 x^{3} + 14 x^{2} + 8 x - 15 = 0

x = - 1, x = 1, x = 3, x = 5

Solution steps

x^{4} - 8 x^{3} + 14 x^{2} + 8 x - 15 = 0

Factor

x^{4} - 8 x^{3} + 14 x^{2} + 8 x - 15 : (x + 1) (x - 1) (x - 3) (x - 5)

(x + 1) (x - 1) (x - 3) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 1 = 0 or x - 3 = 0 or x - 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x - 3 = 0 : x = 3

Solve

x - 5 = 0 : x = 5

The solutions are

x = - 1, x = 1, x = 3, x = 5

4 x^{4} - 401 x^{2} + 100 = 0

2 x^{3} = 9 x^{2}

(x - 2)^{3} = - 125

4 x^{3} - 6 x^{2} = 10 x - 15

- 2 x (x^{2} - 5) (x^{2} + 1) = 0

What are the solutions to the equation x^4-8x^3+14x^2+8x-15=0 ?
The solutions to the equation x^4-8x^3+14x^2+8x-15=0 are x=-1,x=1,x=3,x=5
Find the zeros of x^4-8x^3+14x^2+8x-15=0
The zeros of x^4-8x^3+14x^2+8x-15=0 are x=-1,x=1,x=3,x=5