What are the solutions to the equation x^3-15x^2+63x-49=0 ?

The solutions to the equation x^3-15x^2+63x-49=0 are x=1,x=7

Find the zeros of x^3-15x^2+63x-49=0

The zeros of x^3-15x^2+63x-49=0 are x=1,x=7

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x^{3} - 15 x^{2} + 63 x - 49 = 0

x = 1, x = 7

Solution steps

x^{3} - 15 x^{2} + 63 x - 49 = 0

Factor

x^{3} - 15 x^{2} + 63 x - 49 : (x - 1) (x - 7)^{2}

(x - 1) (x - 7)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 7 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 7 = 0 : x = 7

The solutions are

x = 1, x = 7

x^{3} - 14 x - 8 = 0

x^{4} - 1

5 x^{4} - 9 x^{2} + 4 = 0

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

x^{3} + x

What are the solutions to the equation x^3-15x^2+63x-49=0 ?
The solutions to the equation x^3-15x^2+63x-49=0 are x=1,x=7
Find the zeros of x^3-15x^2+63x-49=0
The zeros of x^3-15x^2+63x-49=0 are x=1,x=7