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                                  Mystery of the Stolen Purse

Allen was a rich man who had many servants to serve him. One day he realized that his purse was missing from his drawer. He was utterly shocked as it was having a lot of money. He decided to file a complaint at the local police station.

The chief of police wrote the complaint and decided to solve the matter himself. He went to Allen’s house and called all the servants of the house and gave a stick to each one of them. All the sticks were of equal size. He further told them that the stick of the thief would grow longer by one inch, overnight. He called all the servants to the police station along with their sticks, the next day. He assured Allen that the strategy would definitely work. All the servants went back home and slept peacefully, except Jack. He became nervous, restless, and spent a sleepless night. His wife asked him why he had not eaten properly, but he did not tell her anything. He was worried about his stick growing longer by one inch. He kept measuring the stick from time to time. At last, in the small hours of the morning, he cut his stick by one inch, as he was scared of being caught.

The next day as all the servants reached the police station with the sticks, the chief inspected the sticks. He found the stick of Jack, shorter by one inch. Jack was trying to make up several unrealistic stories, but the chief was too smart to be deceived. He immediately caught him and put him behind bars. Jack was full of remorse and was cursing himself for the deed. The chief recovered the purse and returned it to Allen. Allen could not believe that one of his trustworthy servants would do that.

Theft is a punishable crime and honest is priceless. Always think before you act.

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Time and technology are two important factors that can change substances into resources.

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Answer:

time and technology

Explanation:

I know you are a fan of Kim tae hyung...

happy new year2022 everyone...may this year will be filled with prosperity and happiness for uhh..

Answer:

Opposite of Worthwhile is Useless or Worthless.

Answer:

Explanation

worthless

useless

Answer:

Option (B)

Step-by-step explanation:

Who derived the formula for solving the quadratic equation ax²+bx+c = 0 ,where a≠0 ?

The standard quadratic equation is ax²+bx+c = 0

On dividing by a both sides then

=> (ax²+bx+c)/a = 0/a

=> (ax²/a)+(bx/a)+(c/a) = 0

=> x² +(bx/a) + (c/a) = 0

=> x²+(2/2)(bx/a) +(c/a) = 0

=> x²+(2bx/2a) +(c/a) = 0

=> x²+2(bx/2a) + (c/a) = 0

=> x² +2(b/2a)x = -c/a

=> x²+2x(b/2a) = -c/a

On adding (b/2a)² both sides then

=> x²+2x(b/2a)+(b/2a)² = (-c/a)+(b/2a)²

=> [x+(b/2a)]² = (-c/a)+(b²/4a²)

Since, (a+b)² = a²+2ab+b²

=> [x+(b/2a)]² = (-4ac+b²)/(4a²)

=> [x+(b/2a)]² = (b²-4ac)/(4a²)

=> x+(b/2a) = ±√[(b²-4ac)/(4a²)]

=> x+(b/2a) = ±[{√(b²-4ac)}/(2a)]

=> x = ±[{√(b²-4ac)}/(2a)] -(b/2a)

=> x = ±[{√(b²-4ac)}-b]/(2a)

=> x = [-b±√(b²-4ac)]/(2a)

Therefore, the roots are

[-b+√(b²-4ac)]/(2a) and [-b-√(b²-4ac)]/(2a).

This formula is known as Quadratic Formula .

This is derived by Indian Mathematician Sridharacharya.

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

Corrected Question:-

Who derived the formula for solving the quadratic equation ax²+bx+c = 0 ,where a≠0 ?

Proof :-

The standard quadratic equation is ax²+bx+c = 0

On dividing by a both sides then

=> (ax²+bx+c)/a = 0/a

=> (ax²/a)+(bx/a)+(c/a) = 0

=> x² +(bx/a) + (c/a) = 0

=> x²+(2/2)(bx/a) +(c/a) = 0

=> x²+(2bx/2a) +(c/a) = 0

=> x²+2(bx/2a) + (c/a) = 0

=> x² +2(b/2a)x = -c/a

=> x²+2x(b/2a) = -c/a

On adding (b/2a)² both sides then

=> x²+2x(b/2a)+(b/2a)² = (-c/a)+(b/2a)²

=> [x+(b/2a)]² = (-c/a)+(b²/4a²)

Since, (a+b)² = a²+2ab+b²

=> [x+(b/2a)]² = (-4ac+b²)/(4a²)

=> [x+(b/2a)]² = (b²-4ac)/(4a²)

=> x+(b/2a) = ±√[(b²-4ac)/(4a²)]

=> x+(b/2a) = ±[{√(b²-4ac)}/(2a)]

=> x = ±[{√(b²-4ac)}/(2a)] -(b/2a)

=> x = ±[{√(b²-4ac)}-b]/(2a)

=> x = [-b±√(b²-4ac)]/(2a)

Therefore, the roots are

[-b+√(b²-4ac)]/(2a) and [-b-√(b²-4ac)]/(2a).

This formula is known as Quadratic Formula .

This is derived by Indian Mathematician Sridharacharya.

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