What are the solutions to the equation 10=x^3+x ?

The solutions to the equation 10=x^3+x are x=2,x=-1+2i,x=-1-2i

Find the zeros of 10=x^3+x

The zeros of 10=x^3+x are x=2,x=-1+2i,x=-1-2i

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10 = x^{3} + x

x = 2, x = - 1 + 2 i, x = - 1 - 2 i

Solution steps

10 = x^{3} + x

Switch sides

x^{3} + x = 10

Move

10

to the left side

x^{3} + x - 10 = 0

Factor

x^{3} + x - 10 : (x - 2) (x^{2} + 2 x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x^{2} + 2 x + 5 = 0

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 2 x + 5 = 0 : x = - 1 + 2 i, x = - 1 - 2 i

The solutions are

x = 2, x = - 1 + 2 i, x = - 1 - 2 i

2 (x - 7)^{5} + 3 = 67

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

b^{3} = 0.25

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

x, 3 = (1 + x)^{9}

What are the solutions to the equation 10=x^3+x ?
The solutions to the equation 10=x^3+x are x=2,x=-1+2i,x=-1-2i
Find the zeros of 10=x^3+x
The zeros of 10=x^3+x are x=2,x=-1+2i,x=-1-2i