What are the solutions to the equation 6x^3-62x^2+202x-210=0 ?

The solutions to the equation 6x^3-62x^2+202x-210=0 are x=3,x= 7/3 ,x=5

Find the zeros of 6x^3-62x^2+202x-210=0

The zeros of 6x^3-62x^2+202x-210=0 are x=3,x= 7/3 ,x=5

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6 x^{3} - 62 x^{2} + 202 x - 210 = 0

x = 3, x = \frac{7}{3}, x = 5

Decimal Notation

x = 3, x = 2.33333 \dots, x = 5

Solution steps

6 x^{3} - 62 x^{2} + 202 x - 210 = 0

Factor

6 x^{3} - 62 x^{2} + 202 x - 210 : 2 (x - 3) (3 x - 7) (x - 5)

2 (x - 3) (3 x - 7) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 3 = 0 or 3 x - 7 = 0 or x - 5 = 0

Solve

x - 3 = 0 : x = 3

Solve

3 x - 7 = 0 : x = \frac{7}{3}

Solve

x - 5 = 0 : x = 5

The solutions are

x = 3, x = \frac{7}{3}, x = 5

32 x^{5} - 162 x = 0

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

k^{3} = 5

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

x^{4} = 13 x^{2} - 36

What are the solutions to the equation 6x^3-62x^2+202x-210=0 ?
The solutions to the equation 6x^3-62x^2+202x-210=0 are x=3,x= 7/3 ,x=5
Find the zeros of 6x^3-62x^2+202x-210=0
The zeros of 6x^3-62x^2+202x-210=0 are x=3,x= 7/3 ,x=5