Had Ravita scored 10 more marks in her Mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?
Answers
Answered by
72
hey! Ravita's actual marks is 15 out of 30
let actual marks be x
according to question
x^2=9(x+10)
x^2=9x+90
x^2-9x-90=0
now you can bring answer by factorize by middle term splitting nethod
let actual marks be x
according to question
x^2=9(x+10)
x^2=9x+90
x^2-9x-90=0
now you can bring answer by factorize by middle term splitting nethod
Anonymous:
explain
you can check answer
plz mark as brainliest
how do u split those terms
hey! by the process of middle term splitting
but how do u split -9 & -90
yes
its splitted
but how
x2-15x+6x-90
Answered by
36
Given:
Total Marks = 30
More Marks = 10
Square marks = 9 times
To Find:
Total marks received in the test
Solution:
Let the marks scored by Ravita be = x
Thus, according to the question -
x² = 9 (x+10)
x² = 9x+90
x² -9x-90 =0
x² -15x+6x-90=0
x(x-15)+6(x-15)=0
(x-15)(x+6)=0
Therefore x = 15 and -6
Since, the marks can not be negative, thus they are 15.
Answer: The marks scored by Ravita are 15 out of 30.
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