What are the solutions to the equation 2(x^2-5)(x^2+100)=0 ?

The solutions to the equation 2(x^2-5)(x^2+100)=0 are x=10i,x=-10i,x=-sqrt(5),x=sqrt(5)

Find the zeros of 2(x^2-5)(x^2+100)=0

The zeros of 2(x^2-5)(x^2+100)=0 are x=10i,x=-10i,x=-sqrt(5),x=sqrt(5)

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2 (x^{2} - 5) (x^{2} + 100) = 0

x = 10 i, x = - 10 i, x = - 5, x = 5

Solution steps

2 (x^{2} - 5) (x^{2} + 100) = 0

Factor

2 (x^{2} - 5) (x^{2} + 100) : 2 (x^{2} + 100) (x + 5) (x - 5)

2 (x^{2} + 100) (x + 5) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x^{2} + 100 = 0 or x + 5 = 0 or x - 5 = 0

Solve

x^{2} + 100 = 0 : x = 10 i, x = - 10 i

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = 10 i, x = - 10 i, x = - 5, x = 5

7 x + x^{2} (x - 13) = 6

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

4 x^{3} - x^{2} + 36 x - 9 = 0

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

x^{4} = 3

What are the solutions to the equation 2(x^2-5)(x^2+100)=0 ?
The solutions to the equation 2(x^2-5)(x^2+100)=0 are x=10i,x=-10i,x=-sqrt(5),x=sqrt(5)
Find the zeros of 2(x^2-5)(x^2+100)=0
The zeros of 2(x^2-5)(x^2+100)=0 are x=10i,x=-10i,x=-sqrt(5),x=sqrt(5)