What are the solutions to the equation x^3-7x^2+17x+25=0 ?

The solutions to the equation x^3-7x^2+17x+25=0 are x=-1,x=4+3i,x=4-3i

Find the zeros of x^3-7x^2+17x+25=0

The zeros of x^3-7x^2+17x+25=0 are x=-1,x=4+3i,x=4-3i

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x^{3} - 7 x^{2} + 17 x + 25 = 0

x = - 1, x = 4 + 3 i, x = 4 - 3 i

Solution steps

x^{3} - 7 x^{2} + 17 x + 25 = 0

Factor

x^{3} - 7 x^{2} + 17 x + 25 : (x + 1) (x^{2} - 8 x + 25)

(x + 1) (x^{2} - 8 x + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} - 8 x + 25 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} - 8 x + 25 = 0 : x = 4 + 3 i, x = 4 - 3 i

The solutions are

x = - 1, x = 4 + 3 i, x = 4 - 3 i

3 x^{6} - 4 x^{3} - 46375 = 0

2 x^{3} + 5 x^{2} + 4 x + 1 = 0

x^{4} x - 1 = 4 x + 7

- 2 x^{3} - 6 x^{2} - 6 x - 5 = 0

x^{100} - 1 = 0

What are the solutions to the equation x^3-7x^2+17x+25=0 ?
The solutions to the equation x^3-7x^2+17x+25=0 are x=-1,x=4+3i,x=4-3i
Find the zeros of x^3-7x^2+17x+25=0
The zeros of x^3-7x^2+17x+25=0 are x=-1,x=4+3i,x=4-3i