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hichkok12 [17]
3 years ago
13

Given 5n² + 6n + 7 = n² - 4n : a. Find the value of the discriminant. b. State the number and type of roots/solutions/zeros.[2 r

eal, 2 imaginary, 1 real]
Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0
\bf 5n^2+6n+7=n^2-4n\implies 5n^2+6n+7-n^2+4n=0
\\\\\\
4n^2+10n+7=0\\\\
-------------------------------\\\\
\begin{array}{llccll}
&{{ 4}}x^2&{{ +10}}x&{{ +7}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\\\\\\
discriminant\implies b^2-4ac=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}

if you get a positive value, that means 2 real solutions
if you get 0, means 1 real solution only
if you get a negative value, is an imaginary root solution, same as saying no solution.
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OMG JUST REALIZED I FORGOT TO PUT PICTURES THE FIRST 2 TIMES SO SORRY PLEASE HELP!
saul85 [17]

I got it now!

(hold your applause)

Area of the rectangle is 12 to the power of 2 (or you can just say squared) and that equals 144cm squared

the area of the circle is pi radius squared (in this case radius is 3) and it equals 9 pi squared

to get the shaded area that is last over with the circles removed you would have to do (144)-(9pi) (this part is unachievable without a calculator that has the pi symbol to fill in instead of just writing 3.14) and after you get the answer of that which is 115.725666118

and that amount you must do the same with so it would be

(115.725666118)-(9pi) and that equals ...............

87.4513322357

(you may now applaud)

5 0
3 years ago
I need some help on this thx!
Zielflug [23.3K]

Answer:

okay so each cookie costs 1.15 and the equation is (2.80 divided by 7) + 0.75 = c

Step-by-step explanation:

Hope that helps:)

7 0
2 years ago
How many titles 250mm square will be needed to cover s kitchen floor of length 3m and breath 2.5m . The answer should be in the
nordsb [41]

Answer:

30,000 tiles

Step-by-step explanation:

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6 0
2 years ago
Convert r=53sinθ−cosθ to rectangular form.
Helga [31]

Answer:

y = \frac{1}{3} x + \frac{5}{3}

Step-by-step explanation:

r = 5/(3sinθ-cosθ)

multiply both sides by (3sinθ-cosθ):

r(3sinθ-cosθ) = 5

expand:

3rsinθ-rcosθ = 5

replace rsinθ with y and rcosθ with x:

3y-x = 5

add x to both sides:

3y = x + 5

divide both sides by 3:

y = 1/3x + 5/3

: )

3 0
3 years ago
X+2y=10. x+y=6 SOLVE for the value of x and y.
Ksivusya [100]
<span>X+2y=10 ----Eq.1
</span><span>x+y=6---------Eq.2
from Eq2.
x=6-y
Subtituting the value of X in the first equation
6-y+2y=10
6+y=10
y=4
Plug y=4 in equation 2.
</span><span>x+4=6
</span>X= 2
7 0
3 years ago
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