given that 5a-3b=16 and ab=15, find the value of 25a^2+9b^2
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Answer:
ab=15
therefore b=15/a
therefore
5a-3(15/a)=16
5a^2-45=16a
5a^2-16a-45=0
5a^2-25a+9a-45=0
5a(a-5)+9(a-5)=0
a=5 or -5/9
if a=5
b=3
And if a=-5/9
b=-15*9/5
b=-27
now but in equation you will get the answer
Step-by-step explanation:
25(5*5)+9(3*3)
25*25+9*9
625+81
706
and now but second equation I. the same manner
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