What are the solutions to the equation 4x^3-30x+8=34 ?

The solutions to the equation 4x^3-30x+8=34 are x=-1,x=(1+3sqrt(3))/2 ,x=(1-3sqrt(3))/2

Find the zeros of 4x^3-30x+8=34

The zeros of 4x^3-30x+8=34 are x=-1,x=(1+3sqrt(3))/2 ,x=(1-3sqrt(3))/2

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4 x^{3} - 30 x + 8 = 34

x = - 1, x = \frac{1 + 3 3}{2}, x = \frac{1 - 3 3}{2}

Decimal Notation

x = - 1, x = 3.09807 \dots, x = - 2.09807 \dots

Solution steps

4 x^{3} - 30 x + 8 = 34

Move

34

to the left side

4 x^{3} - 30 x - 26 = 0

Factor

4 x^{3} - 30 x - 26 : 2 (x + 1) (2 x^{2} - 2 x - 13)

2 (x + 1) (2 x^{2} - 2 x - 13) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or 2 x^{2} - 2 x - 13 = 0

Solve

x + 1 = 0 : x = - 1

Solve

2 x^{2} - 2 x - 13 = 0 : x = \frac{1 + 3 3}{2}, x = \frac{1 - 3 3}{2}

The solutions are

x = - 1, x = \frac{1 + 3 3}{2}, x = \frac{1 - 3 3}{2}

(t + 3)^{4} + (t - 3)^{4} = 272

(x + 2) + (x^{2} - 4 x + 4) - x^{2} (x - 2) = - 53

64 x^{3} + 1 = 0

x^{6} + 6 x^{3} + 9 = 0

d^{3} - 6 d^{2} + 11 d - 6 = 0

What are the solutions to the equation 4x^3-30x+8=34 ?
The solutions to the equation 4x^3-30x+8=34 are x=-1,x=(1+3sqrt(3))/2 ,x=(1-3sqrt(3))/2
Find the zeros of 4x^3-30x+8=34
The zeros of 4x^3-30x+8=34 are x=-1,x=(1+3sqrt(3))/2 ,x=(1-3sqrt(3))/2