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Find the value of the discriminant.$\\sqrt{2}x^2 + 4x +2\\sqrt{2} = 0$.

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Tutorialspoint

Updated on 10-Oct-2022 09:36:46

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Given :The given equation is $\sqrt{2}x^2 + 4x +2\sqrt{2} = 0$.To do :We have to find the discriminant of the given equation.Solution :Discriminant of a quadratic equation $ax^2 + bx +c$ is given by, $D = b^2 - 4ac$In the given equation, $\sqrt{2}x^2 + 4x +2\sqrt{2} = 0$$a = \sqrt{2}$, ... Read More

We have two eyes but we see only one picture. Explain?

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Tutorialspoint

Updated on 10-Oct-2022 09:36:46

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We have two eyes to help us with an in-depth perception or provide us with a clear vision. Although we are able to see an object with one eye, the right eye perceives more of the right side of an object, while the left eye perceives more of the left ... Read More

How can we find pH value?

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Tutorialspoint

Updated on 10-Oct-2022 09:36:46

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The pH of a solution is a measure of the molar concentration of hydrogen ions in the solution and as such is a measure of the acidity or basicity of the solution. The letters pH stand for "power of hydrogen" and the numerical value for pH is just the negative of ... Read More

What are dangerous Microbes around us?

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Tutorialspoint

Updated on 10-Oct-2022 09:36:44

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There are several microbes that can pose a harmful threat to living beings. However, some of the common pathogens which have been causing threat include- 1. Plasmodium falciparum→ Malaria2. Mycobacterium tuberculosis→ Tuberculosis3. Yersinia pestis→ Plague4. Bordatella pertussis→ Whooping cough5. Varicella zoster→ Chickenpox6. Rhinovirus→ Common cold7. Rubella→ Measles

Is 15625 a perfect cube?

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Tutorialspoint

Updated on 10-Oct-2022 09:36:44

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Given :The given number is 15625.To do :We have to find whether the given number is a perfect cube.Solution :To find whether a number is a perfect cube, we can use its prime factorization.$15625 = 5\times 5\times 5\times 5\times 5\times 5= (5 \times 5)^3$So, $15625 = 25^3$Therefore, 15625 is a perfect cube.

If $x^2 + y^2 = 27xy$ then prove that $2log(x-y) = 2log5 + logx + logy$.

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Tutorialspoint

Updated on 10-Oct-2022 09:36:44

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Given:  $x^2 + y^2 = 27xy$ To do:  Prove that $2log(x-y) = 2log5 + logx + logy$.Solution: $x^2 + y^2 = 27xy$We have to prove that $2log(x-y) = 2log5 + logx + logy$. $x^2 + y^2 = 27xy$ Subtract 2xy on both sides of the equation. $x^2 + y^2-2xy = ... Read More

Why do we need Energy?

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Tutorialspoint

Updated on 10-Oct-2022 09:36:44

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Energy helps in boosting your body's internal functions, repairs, builds, and maintains cells and body tissues. It also supports the external activities that enable you to interact with the physical world. Water is the body's most important nutrient, which helps in carrying out the chemical reactions that produce energy from ... Read More

How many paise is $ 54.92?

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Tutorialspoint

Updated on 10-Oct-2022 09:36:44

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Given :The given number is 54.92$.To do :We have to find how many paise is 54.92$.Solution :Let us say the conversion rate is 1$ is Rs. 75.Then,54.92 $=$ Rs. 75 $\times$ 54.92$=$Rs. 4119.We know that Rs. 1$=$ 100 paiseTherefore,54.92 $=$Rs. 4119$=4119 \times 100 paise=411900 paise$.Therefore, 54.92 $ is 411900 paise.

What is the successor of 1000000000000000?

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Tutorialspoint

Updated on 10-Oct-2022 09:36:44

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Given :The given number is 1000000000000000.To do :We have to find the successor of the given number.Solution :Successor or the succeeding number implies the number that comes after.The number that comes after it is $1000000000000000+1=1000000000000001$.The successor of the given number is 1000000000000001.

Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular park with a length of 60 m and a breadth of 45 m. Who covers less distance?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 09:36:44

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Given :Sweety runs around a square park of side 75 m.Bulbul runs around a rectangular park with a length of 60 m and a breadth of 45 m.To find :We have to find who covers the less distance.Solution :We know that, The perimeter of a square of side a units ... Read More

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