What are the solutions to the equation x^3-7x^2-49x+343=0 ?

The solutions to the equation x^3-7x^2-49x+343=0 are x=7,x=-7

Find the zeros of x^3-7x^2-49x+343=0

The zeros of x^3-7x^2-49x+343=0 are x=7,x=-7

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x^{3} - 7 x^{2} - 49 x + 343 = 0

x = 7, x = - 7

Solution steps

x^{3} - 7 x^{2} - 49 x + 343 = 0

Factor

x^{3} - 7 x^{2} - 49 x + 343 : (x - 7)^{2} (x + 7)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 7 = 0 or x + 7 = 0

Solve

x - 7 = 0 : x = 7

Solve

x + 7 = 0 : x = - 7

The solutions are

x = 7, x = - 7

3 x^{3} + 2 x^{2} + 27 x + 18 = 0

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

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

a^{3} = 78

x^{4} - 6 x^{3} + 14 x^{2} - 14 x + 5 = 0

What are the solutions to the equation x^3-7x^2-49x+343=0 ?
The solutions to the equation x^3-7x^2-49x+343=0 are x=7,x=-7
Find the zeros of x^3-7x^2-49x+343=0
The zeros of x^3-7x^2-49x+343=0 are x=7,x=-7