What is the answer to e^{-x^2}(1-2x^2)=0 ?

The answer to e^{-x^2}(1-2x^2)=0 is x= 1/(sqrt(2)),x=-1/(sqrt(2))

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e^{-x^2}(1-2x^2)=0

e^{- x^{2}} (1 - 2 x^{2}) = 0

x = \frac{1}{2}, x = - \frac{1}{2}

Decimal Notation

x = 0.70710 \dots, x = - 0.70710 \dots

Solution steps

e^{- x^{2}} (1 - 2 x^{2}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{- x^{2}} = 0 or 1 - 2 x^{2} = 0

Solve

e^{- x^{2}} = 0 :

No Solution for

x \in R

Solve

1 - 2 x^{2} = 0 : x = \frac{1}{2}, x = - \frac{1}{2}

x = \frac{1}{2}, x = - \frac{1}{2}

n, (x^{4})^{n} = x^{16}

\frac{10 0 ^{x} - 1}{1 0 ^{x} + 1} = 9

\frac{3 ^{27}}{2 7 ^{3}} = 3^{k}

x, (\frac{1}{4})^{x} = 4

8 (4^{x}) - 9 (2^{x}) + 1 = 0

What is the answer to e^{-x^2}(1-2x^2)=0 ?
The answer to e^{-x^2}(1-2x^2)=0 is x= 1/(sqrt(2)),x=-1/(sqrt(2))