What are the solutions to the equation 3x^4-10x^3-24x^2-6x+5=0 ?

The solutions to the equation 3x^4-10x^3-24x^2-6x+5=0 are x=-1,x= 1/3 ,x=5

Find the zeros of 3x^4-10x^3-24x^2-6x+5=0

The zeros of 3x^4-10x^3-24x^2-6x+5=0 are x=-1,x= 1/3 ,x=5

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3 x^{4} - 10 x^{3} - 24 x^{2} - 6 x + 5 = 0

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

Decimal Notation

x = - 1, x = 0.33333 \dots, x = 5

Solution steps

3 x^{4} - 10 x^{3} - 24 x^{2} - 6 x + 5 = 0

Factor

3 x^{4} - 10 x^{3} - 24 x^{2} - 6 x + 5 : (x + 1)^{2} (3 x - 1) (x - 5)

(x + 1)^{2} (3 x - 1) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

3 x - 1 = 0 : x = \frac{1}{3}

Solve

x - 5 = 0 : x = 5

The solutions are

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

4 z^{5} - 14 z^{2} = 0

x^{3} + 5 x + 2 = 0

81 = r^{4}

x, 3 x^{3} + y^{4} = cy

X^{3} + 3 X^{2} - 4 X - 12 = 0

What are the solutions to the equation 3x^4-10x^3-24x^2-6x+5=0 ?
The solutions to the equation 3x^4-10x^3-24x^2-6x+5=0 are x=-1,x= 1/3 ,x=5
Find the zeros of 3x^4-10x^3-24x^2-6x+5=0
The zeros of 3x^4-10x^3-24x^2-6x+5=0 are x=-1,x= 1/3 ,x=5