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Represent the following situations mathe...

Represent the following situations mathematically:
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particaular day, the total cost of production was RS.750. We would like to find out the number of toys produced on that day.

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The correct Answer is:
(i) `x^(2)-45x+324=0(ii)x^(2)-55+750=0`
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Represent the following situations mathematically: (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with. (ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.

A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation to find x .

John and Jivanti together have 45 marbles. Both of them lost 5 marbles each,and the product of the number of marbles they now have is 124. Form the quadratic equation to find how many marbles they had to start with, if John had x marbles

John and Jivanti together have 45 marbles. Both of them lost 5 marbles each,and the product of the number of marbles they now have is 128. Form the quadratic equation to find how many marbles they had to start with, if John had x marbles.

Deepak and Sudhir together have 26 marbles. Both of them lost 3 marble each, and the product of the number of marbles they now have is 91. Represent it as a quadratic equation.

A cottage industry produces a certain number of pottery articles in a day.It was observed on a particular day that the cost of production of each article (in rupees) was 3more than twice the number of articles produced on that day.If the total cost of production on that day was Rs the cost of each article.

A has 50% more marbles than B. If A gives 40 marbles to B, then the difference of the number of marbles with both will be 16. Find the number of marbles with B.

Eddy has three more marbles than twice the number of marbles with Rosy. If Rosy has x marbles, then the number of marbles with Eddy is

NAGEEN PRAKASHAN-QUADRATIC EQUATIONS-Exercise 4a
  1. Which of the following are quadratic equations? (i)x^(2)8x+12=0 (ii)...

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  2. Represent the following situations mathematically: (i) John and Jiva...

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  3. Which of the following are roots of 4x^(2)-9x-100=0? (i) -4 (ii) (3)...

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  4. If one root of the quadratic equation 6x^(2)-x-k=0" is" (2)/(3), then ...

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  5. Solve each of the following equatins : 3x^(2)-243=0

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  6. Solve each of the following equatins : 5x^(2)+4x=0

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  7. Solve each of the following equatins : x^(2)+12x+35=0

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  8. Solve each of the following equatins : 2x^(2)-5x+3=0

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  9. Solve each of the following equatins : 6x^(2)-x-2=0

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  10. Solve each of the following equatins : x=8x^(2)-22x-21=0

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  11. Solve each of the following equatins : 9x^(2)+6x+1=0

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  12. Solve each of the following equatins : 48x^(2)-13x-1=0

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  13. Solve each of the following equatins : 6x^(2)+40=31x

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  14. Factorize sqrt3x^2+11x+6sqrt3

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  15. Solve each of the following equatins : 3sqrt7x^(2)+4x-sqrt7=0

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  16. Solve each of the following equatins : 2sqrt5x^(2)-3x-sqrt5=0

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  17. Solve each of the following equatins : x^(2)+5=(9)/(2)x

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  18. Solve each of the following equatins : x=(3x+1)/(4x)

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  19. Solve each of the following equatins : x+(1)/(x)=2.5

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  20. Solve each of the following equatins : 5x-(35)/(x)=18,xne0

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