What are the solutions to the equation 5x^2(x^2-3)=0 ?

The solutions to the equation 5x^2(x^2-3)=0 are x=0,x=-sqrt(3),x=sqrt(3)

Find the zeros of 5x^2(x^2-3)=0

The zeros of 5x^2(x^2-3)=0 are x=0,x=-sqrt(3),x=sqrt(3)

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5 x^{2} (x^{2} - 3) = 0

x = 0, x = - 3, x = 3

Decimal Notation

x = 0, x = - 1.73205 \dots, x = 1.73205 \dots

Solution steps

5 x^{2} (x^{2} - 3) = 0

Factor

5 x^{2} (x^{2} - 3) : 5 x^{2} (x + 3) (x - 3)

5 x^{2} (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 3, x = 3

(r - 4)^{2} (r + 8) = 0

x^{3} - 9 x - 1 = 0

x^{(3)} + 3 x^{(2)} - 4 x - 12 = 0

4 x^{4} - 5 x^{2} - 9 = 0

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

What are the solutions to the equation 5x^2(x^2-3)=0 ?
The solutions to the equation 5x^2(x^2-3)=0 are x=0,x=-sqrt(3),x=sqrt(3)
Find the zeros of 5x^2(x^2-3)=0
The zeros of 5x^2(x^2-3)=0 are x=0,x=-sqrt(3),x=sqrt(3)