SSC (Marathi Semi-English) 10thMaharashtra State Board

View all notifications

Quadratic Equations Examples and Solutions

Create free account

      Forgot password?


Application of quadratic equation


Quadratic equations are useful in daily life for finding solutions of some practical problems. We are now going to learn the same.
Ex. (1) There is a rectangular onion storehouse in the farm of Mr. Ratnakarrao at Tivasa. The length of rectangular base is more than its breadth by 7 m and diagonal is more than length by 1 m. Find length and breadth of the storehouse.

Solution : Let breadth of the storehouse be x m.
∴length = (x + 7) m, diagonal = x + 7 + 1 = (x + 8) m
By Pythagorus theorem



`therefore x^2+14x-16x+49-64=0`

`therefore x^2-2x-15=0`

`therefore x^2-5x+3x-15=0`

`therefore x(x-5)+3(x-5)=0`

`therefore (x-5) (x+3)=0`

`therefore x-5=0 or x+3=0`

`therefore x=5 or x=-3`

But length is never negative ∴x≠-3

∴x = 5 and x + 7 = 5 + 7 = 12

Length of the base of storehouse is 12m and breadth is 5m. | Quadratic Equations Part 08 Word Problems

Next video

Quadratic Equations Part 08 Word Problems [00:23:10]
Series 1: playing of 3

View in app×