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4 years ago

Solve quadratic equations by completing the square x^{2}+13x+22=0

Mathematics

1 answer:

Leno4ka [110]4 years ago

7 0

I hope this helps you

x^2+13x+22=0

(x+11)(x+2)=0

x= -11

x= -2

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Viefleur [7K]

Answer:

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3 years ago

An inlet pipe can fill a swimming pool in 9 hours and an outlet pipe can empty the pool in 12 hours. Through an error, both pipe

Andrew [12]

Answer:

36 hours.

Step-by-step explanation:

Let x represent time taken by both pipes to fill the tank.

We have been given that an inlet pipe can fill a swimming pool in 9 hours. So part of pool filled by inlet pipe in one hour would be $\frac{1}{9}$ .

We are also told that an outlet pipe can empty the pool in 12 hours. The part of pool emptied by outlet pipe in one hour would be $\frac{1}{12}$ .

Sine the time taken by both pipes to fill the tank is x hours, so part of pool filled by both pipes in one hour would be $\frac{1}{x}$ .

We will get an equation using our given information as:

$\frac{1}{x}=\frac{1}{9}-\frac{1}{12}$

Let us solve for x.

$\frac{1}{x}=\frac{1*12}{9*12}-\frac{1*9}{12*9}$

$\frac{1}{x}=\frac{12}{108}-\frac{9}{108}$

$\frac{1}{x}=\frac{12-9}{108}$

$\frac{1}{x}=\frac{3}{108}$

Cross multiply:

$3x=108$

$\frac{3x}{3}=\frac{108}{3}$

$x=36$

Therefore, it will take 36 hours for both pipes to fill the tank.

7 0

3 years ago

How to solve this with explaination

Airida [17]

Answer: 4t^2

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Does this equation had infinitely many solutions?<br>2x + 1 = 5x + 2x - 1

Oksana_A [137]

Answer:

No. The solution is $x=\frac{2}{5}$

Step-by-step explanation:

$2x+1=5x+2x-1\\1=5x-1\\5x=2\\x=\frac{2}{5}$

6 0

3 years ago

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