What are the solutions to the equation 2x^3-9x^2+10x-3=0 ?

The solutions to the equation 2x^3-9x^2+10x-3=0 are x=1,x= 1/2 ,x=3

Find the zeros of 2x^3-9x^2+10x-3=0

The zeros of 2x^3-9x^2+10x-3=0 are x=1,x= 1/2 ,x=3

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2 x^{3} - 9 x^{2} + 10 x - 3 = 0

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

Decimal Notation

x = 1, x = 0.5, x = 3

Solution steps

2 x^{3} - 9 x^{2} + 10 x - 3 = 0

Factor

2 x^{3} - 9 x^{2} + 10 x - 3 : (x - 1) (2 x - 1) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

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

Solve

x - 3 = 0 : x = 3

The solutions are

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

16 x^{3} - 4 x^{2} - 20 x + 5

r^{3} - r^{2} - r + 1 = 0

3 (4 x - 3)^{4} = 1875

r^{4} - 2 r^{3} + r^{2} = 0

r^{3} - 5 r^{2} + 3 r + 9 = 0

What are the solutions to the equation 2x^3-9x^2+10x-3=0 ?
The solutions to the equation 2x^3-9x^2+10x-3=0 are x=1,x= 1/2 ,x=3
Find the zeros of 2x^3-9x^2+10x-3=0
The zeros of 2x^3-9x^2+10x-3=0 are x=1,x= 1/2 ,x=3