What are the solutions to the equation x^3-0.75x-0.25=0 ?

The solutions to the equation x^3-0.75x-0.25=0 are x=1,x=-1/2

Find the zeros of x^3-0.75x-0.25=0

The zeros of x^3-0.75x-0.25=0 are x=1,x=-1/2

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x^{3} - 0.75 x - 0.25 = 0

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

Solution steps

x^{3} - 0.75 x - 0.25 = 0

Multiply both sides by

100

100 x^{3} - 75 x - 25 = 0

Factor

100 x^{3} - 75 x - 25 : 25 (x - 1) (2 x + 1)^{2}

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or 2 x + 1 = 0

Solve

x - 1 = 0 : x = 1

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

The solutions are

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

- λ^{3} + 5 λ^{2} = 0

525 = 5 x^{3}

27 x^{4} - 7 x^{3} + 14 = 0

x, (x + y)^{3} = 64

b^{7} - 49 b^{5} = 0

What are the solutions to the equation x^3-0.75x-0.25=0 ?
The solutions to the equation x^3-0.75x-0.25=0 are x=1,x=-1/2
Find the zeros of x^3-0.75x-0.25=0
The zeros of x^3-0.75x-0.25=0 are x=1,x=-1/2