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3 years ago

Why is it important to check all solutions to radical equations?

2 answers:

5 0

When a power is taken on both sides of an equation, the resulting solutions might not check in the original radical equation. These are called extraneous solutions. You must check solutions by substituting in the values into the original equation and verifying that it produces a true statement.

aleksklad [387]3 years ago

4 0

Hello.

The solutions found to radical equations are not necessarily viable. They sometimes result in inequalities, and have to be checked.

Hope I helped.

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Compare the decimals 14.40 and 14.04.

tatuchka [14]

C. 14.40 is greater than 14.04

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3 years ago

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3 years ago

The lengths of two sides of a triangle are 12 inches and 4 inches. Which of the following dimensions is the third side of this t

Anna007 [38]

The triangle inequality requires the third side be in the range
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3 years ago

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

SashulF [63]

<h3>The value of the larger number, x, is 57.</h3><h3>The value of the smaller number, y, is equal to 42.</h3>

x - y = 15

2x + 8 = 3y - 4

We can quickly get a temporary value for x by altering the original equation.

x - y = 15

Add y to both sides.

x = 15 + y

Now that we have a value of x, we can find the exact value of y.

2(15 + y) + 8 = 3y - 4

Distributive property.

30 + 2y + 8 = 3y - 4

Combine like terms.

38 + 2y = 3y - 4

Subtract 2y from both sides.

38 = y - 4

Add 4 to both sides.

y = 42

Now that we know the exact value of y, we can plug it back into the original equation.

x - 42 = 15

Add 42 to both sides.

x = 57

8 0

3 years ago

Complete each trinomial such that it can be rewritten in the form

lukranit [14]

Answer:

Step-by-step explanation:

1.5x^2+6x+.... so that it can be rewritten in the form a(x+b)^2

Let .... be C

1.5x^2+6x+C

=1.5(x^2+4x+(C/1.5))

Compare above with 1.5(x+2)^2 = 1.5(x^2+4x+4)

C/1.5=4

C=6

So the expression should be 1.5x^2+6x+6

It can be rewritten to 1.5(x+2)^2

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2 years ago