What are the solutions to the equation a^2x^2-1=0 ?

The solutions to the equation a^2x^2-1=0 are x= 1/a ,x=-1/a ;\quad a\ne 0

Find the zeros of a^2x^2-1=0

The zeros of a^2x^2-1=0 are x= 1/a ,x=-1/a ;\quad a\ne 0

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a^{2} x^{2} - 1 = 0

x = \frac{1}{a}, x = - \frac{1}{a}; a \neq = 0

Solution steps

a^{2} x^{2} - 1 = 0

Move

1

to the right side

a^{2} x^{2} = 1

Divide both sides by

a^{2}; a \neq = 0

x^{2} = \frac{1}{a ^{2}}; a \neq = 0

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = \frac{1}{a ^{2}}, x = - \frac{1}{a ^{2}}; a \neq = 0

Simplify

\frac{1}{a ^{2}} : \frac{1}{a}

Simplify

- \frac{1}{a ^{2}} : - \frac{1}{a}

x = \frac{1}{a}, x = - \frac{1}{a}; a \neq = 0

6 x^{2} - 6 n = 11

m^{2} + 40 \cdot m + \frac{1}{16 \cdot 1 0 ^{- 4}} = 0

\frac{2}{3} x^{2} - 256 x + 12 8^{2} = 0

9 x^{2} + 9 x + 52 = 0

6.5 = \frac{( x + x ^{2} + 5 x )}{2}

What are the solutions to the equation a^2x^2-1=0 ?
The solutions to the equation a^2x^2-1=0 are x= 1/a ,x=-1/a ;\quad a\ne 0
Find the zeros of a^2x^2-1=0
The zeros of a^2x^2-1=0 are x= 1/a ,x=-1/a ;\quad a\ne 0