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OpenStudy (jiteshmeghwal9):
One number is 7 more than the other and its square is 77 more than the square of the smaller number. What are the numbers?
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OpenStudy (anonymous):
express the numbers in terms of x;
\[x.... and..... 7 +x\]
OpenStudy (jiteshmeghwal9):
plz, give me the whole ans. step by step:)
OpenStudy (anonymous):
then: as the square of the smaller number is 77 less than the square of the bigger number we have this equation:
\[(x +7) ^2 = (x^2) + 77\]
OpenStudy (jiteshmeghwal9):
k!
OpenStudy (anonymous):
next expand: (x + 7)^2
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OpenStudy (anonymous):
to give:\[x^2 + 2(7x) + 49\]
OpenStudy (anonymous):
then solve the equation, can you do it from here?
OpenStudy (jiteshmeghwal9):
I have a little confusion here:(
OpenStudy (jiteshmeghwal9):
where u expanded @bbsmilieface
OpenStudy (anonymous):
Let a and b be the largest and smallest numbers respectively. Solve the following for a and b:\[\left\{a=b+7,a^2=b^2+77\right\} \]\[\{a=9,b=2\} \]
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OpenStudy (jiteshmeghwal9):
mean of expand?
OpenStudy (jiteshmeghwal9):
I can solve the eq. but didn't understand expand
OpenStudy (anonymous):
expansion of (x + 7) (x + 7):|dw:1339169004095:dw| where the arrows are timesing
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