**Using Quadratic Formula to solve Quadratic Equations**

**Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.3 Q5 Download this solution**

#### 5. In a class test, the sum of Shefali's marks 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 the two subjects.

#### Solution:

#### Let Shefali's marks in Mathematics =

#### Let Shefali's marks in English =

#### If, she had got 2 marks more in Mathematics, her marks would be =

#### If, she had got 3 marks less in English, her marks in English would be = =

#### According to given condition:

#### Comparing quadratic equation with general form , we get

#### and

#### Applying Quadratic Formula , we get

#### Therefore, Shefali's marks in Mathematics = 13 or 12

#### Shefali's marks in English =

#### Or

#### Shefali's marks in English =