Had Ajita scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would have been the square of the actual marks .how many marks did she get in the test?
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Let her actual marks be x.
9(x+10)=x^2
x^2-9x-90=0
x^2-15x+6x-90=0
x(x-15)+6(x-15)=0
(x+6) (x-15) =0
x = -6
x= 15
x can't be negative.
Hence, x=15 .
So, Ajita got 15 marks in her test.
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Hope it helps.✌
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