What are the solutions to the equation 2x^4+8x^3+24x^2+32x+14=0 ?

The solutions to the equation 2x^4+8x^3+24x^2+32x+14=0 are x=-1,x=-1+sqrt(6)i,x=-1-sqrt(6)i

Find the zeros of 2x^4+8x^3+24x^2+32x+14=0

The zeros of 2x^4+8x^3+24x^2+32x+14=0 are x=-1,x=-1+sqrt(6)i,x=-1-sqrt(6)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 14 = 0

x = - 1, x = - 1 + 6 i, x = - 1 - 6 i

Solution steps

2 x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 14 = 0

Factor

2 x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 14 : 2 (x + 1)^{2} (x^{2} + 2 x + 7)

2 (x + 1)^{2} (x^{2} + 2 x + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x^{2} + 2 x + 7 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x^{2} + 2 x + 7 = 0 : x = - 1 + 6 i, x = - 1 - 6 i

The solutions are

x = - 1, x = - 1 + 6 i, x = - 1 - 6 i

x^{3} - 2 x^{2} - 11 x + 52 = 0

4 y - y^{3} = 0

19 = 0.074 t^{4}

4 x^{4} - 5 x^{2} = - 4

x^{3} + x - 7 = 0

What are the solutions to the equation 2x^4+8x^3+24x^2+32x+14=0 ?
The solutions to the equation 2x^4+8x^3+24x^2+32x+14=0 are x=-1,x=-1+sqrt(6)i,x=-1-sqrt(6)i
Find the zeros of 2x^4+8x^3+24x^2+32x+14=0
The zeros of 2x^4+8x^3+24x^2+32x+14=0 are x=-1,x=-1+sqrt(6)i,x=-1-sqrt(6)i