What is the answer to 1.5a^2= 6/(a^2) ?

The answer to 1.5a^2= 6/(a^2) is a=sqrt(2),a=-sqrt(2),a=sqrt(2)i,a=-sqrt(2)i

Solve for a: 1.5a^2= 6/(a^2)

The solution is a=sqrt(2),a=-sqrt(2),a=sqrt(2)i,a=-sqrt(2)i

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1.5 a^{2} = \frac{6}{a ^{2}}

a = 2, a = - 2, a = 2 i, a = - 2 i

Solution steps

1.5 a^{2} = \frac{6}{a ^{2}}

Multiply both sides by

10

15 a^{2} = \frac{60}{a ^{2}}

Multiply both sides by

a^{2}

15 a^{4} = 60

Solve

15 a^{4} = 60 : a = 2, a = - 2, a = 2 i, a = - 2 i

a = 2, a = - 2, a = 2 i, a = - 2 i

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 2, a = - 2, a = 2 i, a = - 2 i

x^{- 2} = 7

x^{- 2} = 8

x^{- 2} = 0

\frac{5 x}{x - 2} = \frac{1}{7}

\frac{36 k ^{2} - 6 k - 82}{2 k + 11} = - 3

What is the answer to 1.5a^2= 6/(a^2) ?
The answer to 1.5a^2= 6/(a^2) is a=sqrt(2),a=-sqrt(2),a=sqrt(2)i,a=-sqrt(2)i
Solve for a: 1.5a^2= 6/(a^2)
The solution is a=sqrt(2),a=-sqrt(2),a=sqrt(2)i,a=-sqrt(2)i