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-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.
Shaalaa.com | Quadratic Equations Part 08 Word Problems
The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.