Question

if 1/x²-2=1/7 find value of x​

Answer 1

Answer:

1/x²=2+1/7

=15/7

x²=7/15

x=√7/√15

Answer 2

The value of x is $\sqrt{ \frac{14}{15} }$

Given:

$\frac{1}{ {x}^{2} } - 2 = \frac{1}{7}$

To Find:

The value of x.

Solution:

To find the value of x we will follow the following steps:

As we know,

The equation is:

$\frac{1}{ {x}^{2} } - 2 = \frac{1}{7}$

Now,

On solving for x we get,

$\frac{1}{ {x}^{2} } = \frac{1}{7} + 2$

$\frac{1}{ {x}^{2} } = \frac{1 + 2 \times 7}{7} = \frac{1 + 14}{14} = \frac{15}{14}$

$\frac{1}{ {x}^{2} } = \frac{15}{14}$

${x}^{2} = \frac{14}{15}$

$x = \sqrt{ \frac{14}{15} }$

Henceforth, the value of x is $\sqrt{ \frac{14}{15} }$

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