What are the solutions to the equation 4x^3+30x^2+70x+50=0 ?

The solutions to the equation 4x^3+30x^2+70x+50=0 are x=-5/2 ,x=(-5+sqrt(5))/2 ,x=(-5-sqrt(5))/2

Find the zeros of 4x^3+30x^2+70x+50=0

The zeros of 4x^3+30x^2+70x+50=0 are x=-5/2 ,x=(-5+sqrt(5))/2 ,x=(-5-sqrt(5))/2

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4 x^{3} + 30 x^{2} + 70 x + 50 = 0

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

Decimal Notation

x = - 2.5, x = - 1.38196 \dots, x = - 3.61803 \dots

Solution steps

4 x^{3} + 30 x^{2} + 70 x + 50 = 0

Factor

4 x^{3} + 30 x^{2} + 70 x + 50 : 2 (2 x + 5) (x^{2} + 5 x + 5)

2 (2 x + 5) (x^{2} + 5 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

2 x + 5 = 0 : x = - \frac{5}{2}

Solve

x^{2} + 5 x + 5 = 0 : x = \frac{- 5 + 5}{2}, x = \frac{- 5 - 5}{2}

The solutions are

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

x^{4} - 3 x^{2} - 2 x = 0

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

x^{4} - 3 x^{2} + 9 = 0

Z^{4} = - 7 + 24 i

x^{4} + 8 = 0

What are the solutions to the equation 4x^3+30x^2+70x+50=0 ?
The solutions to the equation 4x^3+30x^2+70x+50=0 are x=-5/2 ,x=(-5+sqrt(5))/2 ,x=(-5-sqrt(5))/2
Find the zeros of 4x^3+30x^2+70x+50=0
The zeros of 4x^3+30x^2+70x+50=0 are x=-5/2 ,x=(-5+sqrt(5))/2 ,x=(-5-sqrt(5))/2