ii) Suyash scored 10 marks more in second test than that in the first. 5 times
the score of the second test is the same as square of the score in the first
test. Find his score in the first test.
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Answer:
Let the score in the first test be x.
Suyash's score in second test is 10 more than that in the first.
So, his score in the second test = x+10
5 times the score of the second test is the same as square of the score in the first test.
5(x+10)=x2
⇒5x+50=x2
⇒x2−5x−50=0
⇒x2−10x+5x−50=0
⇒x(x−10)+5(x−10)=0
⇒(x+5)(x−10)=0
⇒x=10,−5
The score is not negative so, Suyash scored 10 marks in first test.
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