In a class test , the sum of Shefali mark in mathematics and English is 30 had she got 2 . marks more in mathematics and 3 marks less in English the product of their marks would have been 210. find her marks in 2 subjects . ?
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Step-by-step explanation:
let the marks obtain in maths Be x then the marks obtain in English
will be (30-x)
according to the question
(x+2)(30-x-3)=210
( x+2)(27-x)=210
27 x - x square + 54 - 2 x =210
- x square +25 x -156 =0
xsquare - 25 x + 156 =0
on comparing with
a x square + bx + c =2
a=1,b=-25,c=156
by using formula
x=-b-+√b square-4ac÷2a
_(-25)-+√(-25) square-4(1)(156)÷2(1)
25-+√625-624÷2
25-+√1÷2
x=25-+1÷2
taking (+) sign
x=25+1÷2
26÷2
x=13
taking (-) sign
x=25-1÷2
24÷2
x=12
when x =12 then
marks obtained in maths is 12
marks obtained in English is= 30 - x
30 - 12
18
when when x=13 then
marks obtained in maths is 13
marks obtained in English is 30 - x
30 - 13
17