What are the solutions to the equation x^3+x^2-21x-45=0 ?

The solutions to the equation x^3+x^2-21x-45=0 are x=-3,x=5

Find the zeros of x^3+x^2-21x-45=0

The zeros of x^3+x^2-21x-45=0 are x=-3,x=5

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x^{3} + x^{2} - 21 x - 45 = 0

x = - 3, x = 5

Solution steps

x^{3} + x^{2} - 21 x - 45 = 0

Factor

x^{3} + x^{2} - 21 x - 45 : (x + 3)^{2} (x - 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0 or x - 5 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 5 = 0 : x = 5

The solutions are

x = - 3, x = 5

x^{4} - x^{3} - 7 x^{2} - 14 x - 24 = 0

9 = d^{7} d

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

x^{3} - 19 = 8

x^{2} + 5 = x^{5} - 2

What are the solutions to the equation x^3+x^2-21x-45=0 ?
The solutions to the equation x^3+x^2-21x-45=0 are x=-3,x=5
Find the zeros of x^3+x^2-21x-45=0
The zeros of x^3+x^2-21x-45=0 are x=-3,x=5