Suyash scored 10 marks more in second test than that in first. 5 times the score of the second test is same as square of the score in first test. Find his score in first test.

Answer

Suyash scored 10 marks in the first unit test.

Explanation

Let Suyash scored x marks in the first unit test.
Then he scored (x+10) marks in the second unit test. ltbtgt 5 times the marks in the second unit test =5(x+10) The square of the marks in the first unit test `=x^(2)`. From the given condition.
`5(x+10)=x^(2)`
`:.x^(2)=5(x+10)`
`:.x^(2)=5x+50`
`:.x^(2)-10x+5x-50=0`
`:.x(x-10)+5(x-10)=0`
`:.(x-10)(x+5)=0`
`:.x-10=0orx+5=0`
`:.x=10orx=-5`
But the marks cannot be negative.
`:.x=-5` is unacceptable.
`:.x=10`