What are the solutions to the equation x^3-0.5x^2-8x+7.5=0 ?

The solutions to the equation x^3-0.5x^2-8x+7.5=0 are x=1,x= 5/2 ,x=-3

Find the zeros of x^3-0.5x^2-8x+7.5=0

The zeros of x^3-0.5x^2-8x+7.5=0 are x=1,x= 5/2 ,x=-3

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x^{3} - 0.5 x^{2} - 8 x + 7.5 = 0

x = 1, x = \frac{5}{2}, x = - 3

Decimal Notation

x = 1, x = 2.5, x = - 3

Solution steps

x^{3} - 0.5 x^{2} - 8 x + 7.5 = 0

Multiply both sides by

10

10 x^{3} - 5 x^{2} - 80 x + 75 = 0

Factor

10 x^{3} - 5 x^{2} - 80 x + 75 : 5 (x - 1) (2 x - 5) (x + 3)

5 (x - 1) (2 x - 5) (x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or 2 x - 5 = 0 or x + 3 = 0

Solve

x - 1 = 0 : x = 1

Solve

2 x - 5 = 0 : x = \frac{5}{2}

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 1, x = \frac{5}{2}, x = - 3

6 h^{5} = 12 h^{3}

2 x^{3} - 9 x^{2} + 12 x = 0

x^{3} + 15 x^{2} + 71 x + 105 = 0

x^{3} + x + 8 = 0

x^{4} + 30 x^{2} - 400 = 198 x^{2}

What are the solutions to the equation x^3-0.5x^2-8x+7.5=0 ?
The solutions to the equation x^3-0.5x^2-8x+7.5=0 are x=1,x= 5/2 ,x=-3
Find the zeros of x^3-0.5x^2-8x+7.5=0
The zeros of x^3-0.5x^2-8x+7.5=0 are x=1,x= 5/2 ,x=-3