Which of the following algebraic equations is equivalent to ?

Mathematics

2 answers:

ipn [44]3 years ago

8 0

If it's mutiple choice can I see the options :) would make this easier

Tatiana [17]3 years ago

8 0

Answer:

$a=x^{n}$

Step-by-step explanation:

The given algebraic equation is $\sqrt[n]{a}=x$

We can rewrite the equation as $a^{\frac{1}{n}}=x$

Now we further simplify the equation as below.

$(a^{\frac{1}{n}})^{n}=(x)^{n}$

$a=x^{n}$

Therefore the algebraic equation is equivalent to $a=x^{n}$

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The graph below shows two functions: function f of x is a straight line which joins the ordered pairs negative 2.5, 9 and 2.5, n

weqwewe [10]

We are looking for the approximate solution of $-2x+4=(0.25)^x$ , that is, we are looking for the solution of the equation f(x)=g(x).

The solution of this equation are represented by the intersecting points (x, y) of the graphs of these functions, because the intersecting points (x, y) are such that

y=f(x), but also y=g(x).

From the graph, we can see that there are two solutions, one is at approximately x=2, and the other is approximately -1.4.

Answer: -1.4, 2.