Question

the positive real root of the equation 64x^2-1=0​

Answer 1

Given,

The equation: 64x²-1 = 0

To find,

The positive real root of the equation.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

We have the following equation:

64x²-1 = 0

Now, there are two possible ways to find the positive real root of this equation. We can use the quadratic formula or we can directly solve the equation.

So, we are finding the positive root directly.

Move 1 from the left-hand side to the right-hand side,

64x² = 1

x² = 1/64

x = $\sqrt{ \frac{1}{64} }$

x = ± $\frac{1}{8}$

The positive root is 1/8.

Hence, the positive real root of 64x²-1 = 0 is 1/8.

Answer 2

Answer:

1/8

Step-by-step explanation:

64x² = 1

x² = 1/64

x = \sqrt{ \frac{1}{64} }

64

1

x = ± \frac{1}{8}

8

1

The positive root is 1/8.

Hence, the positive real root of 64x²-1 = 0 is 1/8.