What are the solutions to the equation (2 x/5)(2 x/2)=2^{14} ?

The solutions to the equation (2 x/5)(2 x/2)=2^{14} are x=64sqrt(10),x=-64sqrt(10)

Find the zeros of (2 x/5)(2 x/2)=2^{14}

The zeros of (2 x/5)(2 x/2)=2^{14} are x=64sqrt(10),x=-64sqrt(10)

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(2 \frac{x}{5}) (2 \frac{x}{2}) = 2^{14}

x = 6410, x = - 6410

Decimal Notation

x = 202.38577 \dots, x = - 202.38577 \dots

Solution steps

(2 \cdot \frac{x}{5}) (2 \cdot \frac{x}{2}) = 2^{14}

Simplify

\frac{2 x ^{2}}{5} = 16384

Multiply both sides by

5

\frac{5 \cdot 2 x ^{2}}{5} = 16384 \cdot 5

2 x^{2} = 81920

Divide both sides by

2

\frac{2 x ^{2}}{2} = \frac{81920}{2}

x^{2} = 40960

For

x^{2} = f (a)

the solutions are

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

x = 40960, x = - 40960

40960 = 6410

- 40960 = - 6410

x = 6410, x = - 6410

8 x^{2} + 16 x + 8 = 0

\frac{( x - 9 ) ( x + 1 )}{x - 2} \geq 0

2 (\frac{7}{25})^{2} - 1

(- 8 k + 1) (- 8 k + 1)

2 t^{2} + 11 t + 5

What are the solutions to the equation (2 x/5)(2 x/2)=2^{14} ?
The solutions to the equation (2 x/5)(2 x/2)=2^{14} are x=64sqrt(10),x=-64sqrt(10)
Find the zeros of (2 x/5)(2 x/2)=2^{14}
The zeros of (2 x/5)(2 x/2)=2^{14} are x=64sqrt(10),x=-64sqrt(10)