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

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

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

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

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

x = 1, x = 7

Solution steps

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

Switch sides

- 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

3 n^{9} - 5 = 0

8 x^{3} - 12 x^{2} + 6 x - 1 = 0

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

- x^{3} + 7 x^{2} - 11 x + 5 = 0

x^{3} - x - 6 = 9

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