John and jivanti together have 45 marbles. both of them lost 5 marbles each, and the product of the no. of marbles they now have is 128. from the quadratic equation to find how many marbles they had to start with, if John had x marbles
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No. of marbles John and Jivanti has = 45
Let no. of marbles John has = x
No. of Jivanti has = (45 - x)
John and Jivanti lost 5 marbles each
Now, no. of marbles John has = x - 5
No. of marbles Jivanti has = 40 - x
Product of marbles they have now = 128
Therefore
(x - 5) (40 - x) = 128
40x - 200 - x² + 5x =128
45x - 200 - x² = 128
x² - 45x - 328 = 0
This equation satisfies they had to start with.
Hope this helps you.
Let no. of marbles John has = x
No. of Jivanti has = (45 - x)
John and Jivanti lost 5 marbles each
Now, no. of marbles John has = x - 5
No. of marbles Jivanti has = 40 - x
Product of marbles they have now = 128
Therefore
(x - 5) (40 - x) = 128
40x - 200 - x² + 5x =128
45x - 200 - x² = 128
x² - 45x - 328 = 0
This equation satisfies they had to start with.
Hope this helps you.
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