alyssamicaela alyssamicaela
  • 04-01-2021
  • Mathematics
contestada

What’s is the solution to the equation x to the power of 2 =16/25

Respuesta :

Muscardinus Muscardinus
  • 09-01-2021

Answer:

[tex]x=\dfrac{4}{5}[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2=\dfrac{16}{25}[/tex]

We need to find the value of x.

When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :

[tex]x=\sqrt{\dfrac{16}{25}}[/tex]

We know that, 4×4= 16 and 5×5 = 25

So,

[tex]x=\sqrt{\dfrac{4\times 4}{5\times 5}}\\\\x=\dfrac{4}{5}[/tex]

So, the solution of the given equation is 4/5.

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