What are the solutions to the equation x^3-7x^2+17x-15=0 ?

The solutions to the equation x^3-7x^2+17x-15=0 are x=3,x=2+i,x=2-i

Find the zeros of x^3-7x^2+17x-15=0

The zeros of x^3-7x^2+17x-15=0 are x=3,x=2+i,x=2-i

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x^{3} - 7 x^{2} + 17 x - 15 = 0

x = 3, x = 2 + i, x = 2 - i

Solution steps

x^{3} - 7 x^{2} + 17 x - 15 = 0

Factor

x^{3} - 7 x^{2} + 17 x - 15 : (x - 3) (x^{2} - 4 x + 5)

(x - 3) (x^{2} - 4 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 3 = 0 : x = 3

Solve

x^{2} - 4 x + 5 = 0 : x = 2 + i, x = 2 - i

The solutions are

x = 3, x = 2 + i, x = 2 - i

x^{4} + x^{2} = 2

x^{8} = 3^{16}

- x^{3} - x^{2} + 4 x + 4 = 0

2 h^{4} + 17 h^{3} + 21 h^{2} = h + 7

4 x^{4} - 4 x^{2} + 1 = 0

What are the solutions to the equation x^3-7x^2+17x-15=0 ?
The solutions to the equation x^3-7x^2+17x-15=0 are x=3,x=2+i,x=2-i
Find the zeros of x^3-7x^2+17x-15=0
The zeros of x^3-7x^2+17x-15=0 are x=3,x=2+i,x=2-i