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jeka94
3 years ago
5

Find the solutions to the following equation by using the quadratic formula . 2x^2+14x+20=216

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

x = 7 , − 14

Step-by-step explanation:

I believe this is correct.

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
3 years ago
Can you very be kind and answer
Lera25 [3.4K]

area of a circle is PI x r^2

2 = d/2 = 5.4/2 = 2.7 cm

 using 3.14 for PI

3.14 x 2.7^2 = 22.89 square inches

360 degree in a circle, shaded area is 180 degree, which is 50%

 so 22.89 x .5 = 11.45 cm^2

4 0
3 years ago
Is –5 × –5 positive or negative?
liberstina [14]

Answer:

positive

Step-by-step explanation:

a negative times a negative is always a positive

7 0
3 years ago
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The answer should be 15.4.

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Can Someone Help Me?
Dima020 [189]
The answer to the question is a

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