What are the solutions to the equation 4x^3-6x^2-20x+30=0 ?

The solutions to the equation 4x^3-6x^2-20x+30=0 are x= 3/2 ,x=-sqrt(5),x=sqrt(5)

Find the zeros of 4x^3-6x^2-20x+30=0

The zeros of 4x^3-6x^2-20x+30=0 are x= 3/2 ,x=-sqrt(5),x=sqrt(5)

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4 x^{3} - 6 x^{2} - 20 x + 30 = 0

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

Decimal Notation

x = 1.5, x = - 2.23606 \dots, x = 2.23606 \dots

Solution steps

4 x^{3} - 6 x^{2} - 20 x + 30 = 0

Factor

4 x^{3} - 6 x^{2} - 20 x + 30 : 2 (2 x - 3) (x + 5) (x - 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

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

(x^{2} - 8 x + 15) (x + 1) = 0

x^{4} - 4 x^{3} + 7 x^{2} - 8 x + 10 = 0

2 - 3 - 2 x^{4} - 3 x - 16 + 2 x - 3 = x + 12, a

- x^{5} - 1 = 0

y, 5 (y + 1)^{3} + x^{2} = 1

What are the solutions to the equation 4x^3-6x^2-20x+30=0 ?
The solutions to the equation 4x^3-6x^2-20x+30=0 are x= 3/2 ,x=-sqrt(5),x=sqrt(5)
Find the zeros of 4x^3-6x^2-20x+30=0
The zeros of 4x^3-6x^2-20x+30=0 are x= 3/2 ,x=-sqrt(5),x=sqrt(5)