Question

question no. 5 quadratic equation exercise 4.3 class 10​

Answer 1

Answer:

Let the marks in maths be x

then the marks in English be 30-x

She got 2 marks more in maths : x+2

She got 3 marks less in English : 30-x-3

Therefore (x+2) (30-x-3)=210

(x+2) (27-x) = 210

27x-x2+54-2x=210

25x-x2+54=210

25x-x2-156=0 multiply with -1

x2-25x+156=0

By factorization,

x2-13x-12x+156=0

x(x-13) -12(x-13)=0

(x-13) (x-12)

Therefore x=13 and x=12

Marks of maths = 12

Marks in English = 30-x =30-12=18

Marks in maths =13

Marks in English =30-x=30-13=17