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s344n2d4d5 [400]
3 years ago
14

How to factor a squared minus 169b squared

Mathematics
1 answer:
Arada [10]3 years ago
3 0
A²-169b² = a²-(13b)² --> difference of two squares

a²-(13b)² = (a-13b)(a+13b)
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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
murzikaleks [220]

Answer:

See explanation below

Step-by-step explanation:

<u>First we will solve the radical equation</u> (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 <u>when we first squared both sides of the equation in the first part of the problem we missed one value for x </u>(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.

6 0
3 years ago
Vu Nguyen purchased x shares of Baron Electric stock at $30 per share. He sold all the stock for $12 per share and suffered a lo
Murljashka [212]

Answer:

20 shares.

Step-by-step explanation:

Starting price paid = 30 * x

Ending price received = 12 * x

Loss = 360

Difference = 30x - 12x = 360

Equation

30x - 12x = 360 Combine the terms on the left

18x = 360           Divide by 18

18x/18 = 360/18  Do the division

x = 20  << Answer

He bought 20 shares of the company originally.

6 0
3 years ago
How to solve for the shaded region
k0ka [10]
The shaded region is a triangle. Triangle area can be determined with formula
a = 1/2 × b × h

From the question, we know that the triangle consists of
base = 10 - 6 = 4 m
and the height is the dimension which is perpendicular to the base,
height = 6 m

Find the triangle area
a = 1/2 × b × h
a = 1/2 × 4 × 6
a = 1/2 × 24
a = 12

The area of the shaded region is 12 m²
5 0
3 years ago
Tiana's math test score are 85 and 91 . she has one more test left. in order to earn and a, her average test score must be at le
Harrizon [31]
"at least " means her score has to be more or equal 94
94≤(85+91+x)/3
it looks like correct answer is e.

3 0
3 years ago
Please help me with this homework
nikitadnepr [17]

Answer: 12 units

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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