What are the solutions to the equation 6x^4-7x^3-x^2+67x-105=0 ?

The solutions to the equation 6x^4-7x^3-x^2+67x-105=0 are x= 3/2 ,x=-7/3 ,x=1+2i,x=1-2i

Find the zeros of 6x^4-7x^3-x^2+67x-105=0

The zeros of 6x^4-7x^3-x^2+67x-105=0 are x= 3/2 ,x=-7/3 ,x=1+2i,x=1-2i

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6 x^{4} - 7 x^{3} - x^{2} + 67 x - 105 = 0

x = \frac{3}{2}, x = - \frac{7}{3}, x = 1 + 2 i, x = 1 - 2 i

Solution steps

6 x^{4} - 7 x^{3} - x^{2} + 67 x - 105 = 0

Factor

6 x^{4} - 7 x^{3} - x^{2} + 67 x - 105 : (2 x - 3) (3 x + 7) (x^{2} - 2 x + 5)

(2 x - 3) (3 x + 7) (x^{2} - 2 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 3 = 0 or 3 x + 7 = 0 or x^{2} - 2 x + 5 = 0

Solve

2 x - 3 = 0 : x = \frac{3}{2}

Solve

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

Solve

x^{2} - 2 x + 5 = 0 : x = 1 + 2 i, x = 1 - 2 i

The solutions are

x = \frac{3}{2}, x = - \frac{7}{3}, x = 1 + 2 i, x = 1 - 2 i

x, f (x) =, (f (x) \circ g (x)) 5 - x^{3}

(x^{2} + 3 x)^{2} = 4 (x^{2} + 3 x)

(x - 1) (x + 1) (x + 2) = - 2

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

x^{3} = 9000

What are the solutions to the equation 6x^4-7x^3-x^2+67x-105=0 ?
The solutions to the equation 6x^4-7x^3-x^2+67x-105=0 are x= 3/2 ,x=-7/3 ,x=1+2i,x=1-2i
Find the zeros of 6x^4-7x^3-x^2+67x-105=0
The zeros of 6x^4-7x^3-x^2+67x-105=0 are x= 3/2 ,x=-7/3 ,x=1+2i,x=1-2i