What are the solutions to the equation factor 2x^4=50 ?

The solutions to the equation factor 2x^4=50 are x=sqrt(5)i,x=-sqrt(5)i,x=-sqrt(5),x=sqrt(5)

Find the zeros of factor 2x^4=50

The zeros of factor 2x^4=50 are x=sqrt(5)i,x=-sqrt(5)i,x=-sqrt(5),x=sqrt(5)

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factor

2 x^{4} = 50

x = 5 i, x = - 5 i, x = - 5, x = 5

Solution steps

2 x^{4} = 50

Move

50

to the left side

2 x^{4} - 50 = 0

Factor

2 x^{4} - 50 : 2 (x^{2} + 5) (x + 5) (x - 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = 5 i, x = - 5 i, x = - 5, x = 5

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

(x - 5) (x^{2} + 4 x + 4) = 8 (x + 2)

3 x^{3} - 19 x^{2} + 33 x - 9 = 0

6 x^{3} + 25 x^{2} - 24 x + 5

y^{4} - 4 y^{2} + 3 = 0

What are the solutions to the equation factor 2x^4=50 ?
The solutions to the equation factor 2x^4=50 are x=sqrt(5)i,x=-sqrt(5)i,x=-sqrt(5),x=sqrt(5)
Find the zeros of factor 2x^4=50
The zeros of factor 2x^4=50 are x=sqrt(5)i,x=-sqrt(5)i,x=-sqrt(5),x=sqrt(5)