What are the solutions to the equation x^3-37x+6=0 ?

The solutions to the equation x^3-37x+6=0 are x=6,x=-3+sqrt(10),x=-3-sqrt(10)

Find the zeros of x^3-37x+6=0

The zeros of x^3-37x+6=0 are x=6,x=-3+sqrt(10),x=-3-sqrt(10)

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x^{3} - 37 x + 6 = 0

x = 6, x = - 3 + 10, x = - 3 - 10

Decimal

x = 6, x = 0.16227 \dots, x = - 6.16227 \dots

Solution steps

x^{3} - 37 x + 6 = 0

Factor

x^{3} - 37 x + 6 : (x - 6) (x^{2} + 6 x - 1)

(x - 6) (x^{2} + 6 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x^{2} + 6 x - 1 = 0

Solve

x - 6 = 0 : x = 6

Solve

x^{2} + 6 x - 1 = 0 : x = - 3 + 10, x = - 3 - 10

The solutions are

x = 6, x = - 3 + 10, x = - 3 - 10

x, x^{4} x^{2} - 9 y^{2} = 36

x^{4} - 7 x^{2} - 30 = 0

x^{2} \cdot 4 x - 8 = 0

x^{4} - 6 x^{3} - 7 x^{2} + 54 x - 18 = 0

x^{3} + 19 x^{2} + 90 x + 52 = 0

What are the solutions to the equation x^3-37x+6=0 ?
The solutions to the equation x^3-37x+6=0 are x=6,x=-3+sqrt(10),x=-3-sqrt(10)
Find the zeros of x^3-37x+6=0
The zeros of x^3-37x+6=0 are x=6,x=-3+sqrt(10),x=-3-sqrt(10)