What are the solutions to the equation 4.96*10^{-10}=6.4*10^{-9}*x^2 ?

The solutions to the equation 4.96*10^{-10}=6.4*10^{-9}*x^2 are x=(sqrt(31))/(20),x=-(sqrt(31))/(20)

Find the zeros of 4.96*10^{-10}=6.4*10^{-9}*x^2

The zeros of 4.96*10^{-10}=6.4*10^{-9}*x^2 are x=(sqrt(31))/(20),x=-(sqrt(31))/(20)

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4.96 \cdot 1 0^{- 10} = 6.4 \cdot 1 0^{- 9} \cdot x^{2}

x = \frac{31}{20}, x = - \frac{31}{20}

Decimal Notation

x = 0.27838 \dots, x = - 0.27838 \dots

Solution steps

4.96 \cdot 1 0^{- 10} = 6.4 \cdot 1 0^{- 9} x^{2}

Switch sides

6.4 \cdot 1 0^{- 9} x^{2} = 4.96 \cdot 1 0^{- 10}

Simplify

4.96 \cdot 1 0^{- 10} : \frac{31}{25 \cdot 2 ^{8} \cdot 5 ^{10}}

6.4 \cdot 1 0^{- 9} x^{2} = \frac{31}{25 \cdot 2 ^{8} \cdot 5 ^{10}}

Simplify

6.4 \cdot 1 0^{- 9} : \frac{6.4}{1000000000}

\frac{6.4}{1000000000} x^{2} = \frac{31}{25 \cdot 2 ^{8} \cdot 5 ^{10}}

Multiply both sides by

1000000000

6.4 x^{2} = \frac{62}{125}

Divide both sides by

6.4

x^{2} = 0.0775

For

x^{2} = f (a)

the solutions are

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

x = 0.0775, x = - 0.0775

0.0775 = \frac{31}{20}

- 0.0775 = - \frac{31}{20}

x = \frac{31}{20}, x = - \frac{31}{20}

2 x^{2} + 6 x + \frac{1}{2} = 0

x, 19 x^{2} + 243 x y - 5 y^{2} - 527 = 0

10 x^{2} + 7 x + 4 = 0

6 p^{2} - 4 p - 5 = 0

(4 x - 7)^{2} + 13 = - 11

What are the solutions to the equation 4.96*10^{-10}=6.4*10^{-9}*x^2 ?
The solutions to the equation 4.96*10^{-10}=6.4*10^{-9}*x^2 are x=(sqrt(31))/(20),x=-(sqrt(31))/(20)
Find the zeros of 4.96*10^{-10}=6.4*10^{-9}*x^2
The zeros of 4.96*10^{-10}=6.4*10^{-9}*x^2 are x=(sqrt(31))/(20),x=-(sqrt(31))/(20)