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rjkz [21]
3 years ago
7

Solve each quadratic equation. Show your work.

Mathematics
1 answer:
umka2103 [35]3 years ago
5 0
14. 2x-1 = 0, x+7=0
x = 1/2, x = -7

15. x^2 + 3x - 10 = 0
(x + 5)(x - 2) = 0 
x = -5, x = 2

16. x^2 - 25 = 0
(x-5)(x+5)
x = 5, x  = -5
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Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
2 years ago
DeShawn deposited $6500 into a bank account that earned 11.5% simple interest each year. He earned $4485 in interest before clos
daser333 [38]

6 hope this helps! :)


3 0
2 years ago
Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himselfin 40 minutes. That tas
Verizon [17]
Ummmmmmmmm i'd say its D
4 0
3 years ago
I WILL MARK YOU BRAINLIEST!!
Butoxors [25]

Answer:

Yes

Step-by-step explanation:

There is a proportional relationship between x and y it's 5.

Think about it when x is 1 y is 5

When x is 2 y is 10

When x is 5 y is 25

When x is 7 y is 35

To get this for this question all you have to do is multiply x by 5 to get y.

That's how you know it's proportional.

Hope this helps!!!

3 0
2 years ago
Read 2 more answers
Pls help me i need help with he answer i been on this question for hours it keeps saying my answer is wrong sooo at this point i
Nikitich [7]

Answer:

-100 + x = 40

Step-by-step explanation:

According to the question:

Tyler's original height = -100 feet

Tyler's final height = 40

X to represent change in elevation

As initial + change = final, the equation would be:  

-100 + x = 40  

Please mark it as brainliest if it helps you!

I wasn't sure about my answer, so used the gauthmath app.

5 0
3 years ago
Read 2 more answers
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