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

The solutions to the equation 2x^3+7x^2-2=0 are x= 1/2 ,x=-2+sqrt(2),x=-2-sqrt(2)

Find the zeros of 2x^3+7x^2-2=0

The zeros of 2x^3+7x^2-2=0 are x= 1/2 ,x=-2+sqrt(2),x=-2-sqrt(2)

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

x = \frac{1}{2}, x = - 2 + 2, x = - 2 - 2

Decimal Notation

x = 0.5, x = - 0.58578 \dots, x = - 3.41421 \dots

Solution steps

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

Factor

2 x^{3} + 7 x^{2} - 2 : (2 x - 1) (x^{2} + 4 x + 2)

(2 x - 1) (x^{2} + 4 x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 1 = 0 or x^{2} + 4 x + 2 = 0

Solve

2 x - 1 = 0 : x = \frac{1}{2}

Solve

x^{2} + 4 x + 2 = 0 : x = - 2 + 2, x = - 2 - 2

The solutions are

x = \frac{1}{2}, x = - 2 + 2, x = - 2 - 2

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

p^{3} + 3 p = 4

x^{6} = 81 x^{4}

8 x^{3} - 6 x = 0

2 x^{3} - 4 x - 7 x = - x^{2} + x + 3

What are the solutions to the equation 2x^3+7x^2-2=0 ?
The solutions to the equation 2x^3+7x^2-2=0 are x= 1/2 ,x=-2+sqrt(2),x=-2-sqrt(2)
Find the zeros of 2x^3+7x^2-2=0
The zeros of 2x^3+7x^2-2=0 are x= 1/2 ,x=-2+sqrt(2),x=-2-sqrt(2)