What are the solutions to the equation roots x^3-7x^2+15x-9 ?

The solutions to the equation roots x^3-7x^2+15x-9 are x=1,x=3

Find the zeros of roots x^3-7x^2+15x-9

The zeros of roots x^3-7x^2+15x-9 are x=1,x=3

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roots

x^{3} - 7 x^{2} + 15 x - 9

x = 1, x = 3

Solution steps

x^{3} - 7 x^{2} + 15 x - 9

The roots are the intercepts with the x-axis

(y = 0)

x^{3} - 7 x^{2} + 15 x - 9 = 0

Factor

x^{3} - 7 x^{2} + 15 x - 9 : (x - 1) (x - 3)^{2}

(x - 1) (x - 3)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 3 = 0 : x = 3

The solutions are

x = 1, x = 3

2 x^{4} = 4 x - 8

x^{3} - 5 x^{2} - 9 x + 45

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

4 x^{3} + 2 x - 16 = 0

4 x^{3} + 2 x - 12 = 0

What are the solutions to the equation roots x^3-7x^2+15x-9 ?
The solutions to the equation roots x^3-7x^2+15x-9 are x=1,x=3
Find the zeros of roots x^3-7x^2+15x-9
The zeros of roots x^3-7x^2+15x-9 are x=1,x=3