Mathematics: Consider the radical equation (3√6-x)+4=-8. explain why the calculation in problem 1 does not produce a solution to the equation.

A.-19 9 7[15 -7 6 ] -2 1 1Step-by-step explanation:...

Consider the radical equation (3√6-x)+4=-8. explain

Ответ:

bighoneypadrick

07.01.2022

Mathematics

See explanation below

Step-by-step explanation:

First we will solve the radical equation (which I guess was problem 1),

Let's start by simplifying it:

$3\sqrt{6-x}+4=-8\\ 3\sqrt{6-x}=-8-4\\ 3\sqrt{6-x}=-12\\\sqrt{6-x}=-4$

Now we will solve the equation by squaring both sides of the equation:

$\sqrt{6-x} =-4\\6-x=-4^{2} \\6-x=16\\-x=16-6\\-x=10\\x=-10$

So the calculation for x was that x = -10

However, this does not produce a solution to the equation: When we plug this value into the radical equation we get:

$3\sqrt{6-x} +4= -8\\3\sqrt{6-(-10)} +4=-8\\3\sqrt{16}+4 = -8\\ 3(4)+4 = -8\\12 + 4 = -8$

This happens because when we first squared both sides of the equation in the first part of the problem we missed one value for x (remember that all roots have 2 answers, a positive one and a negative one) while squares are always positive.

When we squared the root, we missed one value for x and that is why the calculation does not produce a solution to the equation.

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Ответ:

cain1828

06.10.2022

Mathematics

-19 9 7

[15 -7 6 ]

-2 1 1

Step-by-step explanation:

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Consider the radical equation (3√6-x)+4=-8. explain why the calculation in problem 1 does not produce a solution to the equation.

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