**OMTEX CLASSES QUADRATIC EQUATION**

**1.**

**The sum of the squares of two consecutive natural numbers is 13. Find the numbers.**

**2.**

**The sum of the squares of two consecutive natural numbers is 841. Find the numbers.**

**3.**

**The sum of the squares of two consecutive natural numbers is 221. Find the numbers.**

**4.**

**The sum of the squares of two consecutive natural numbers is 85. Find the numbers.**

**5.**

**The sum of the squares of two consecutive natural numbers is 181. Find the numbers.**

**6.**

**Sonu is younger than Monu by 4 years. The product of their ages is 32. Find their ages.**

**7.**

**Tom is younger than jerry by 5 years. The product of their ages is 150. Find their ages.**

**8.**

**Vimal is younger than Kamal by 9 years. The product of their ages is 190. Find their ages.**

**9.**

**Raju is younger than karthik by 10 years. The product of their ages is 200. Find their ages.**

**10.**

**Jaya is younger than Maya by 8 years. The Product of their ages is 153. Find their ages.**

**11.**

**The length of the rectangle is greater than its breadth by 1 cm. The area of the rectangle is 12 sq. cm. find its length and breadth.**

**12.**

**The length of the rectangle is greater than its breadth by 5 cm. The area of the rectangle is 150 sq. cm. find its length and breadth.**

**13.**

**The length of the rectangle is greater than its breadth by 2 cm. The area of the rectangle is 440 sq. cm. find its length and breadth.**

**14.**

**The length of the rectangle is greater than its breadth by 8 cm. The area of the rectangle is 209 sq. cm. find its length and breadth.**

**15.**

**The length of the rectangle is greater than its breadth by 4 cm. The area of the rectangle is 525 sq. cm. find its length and breadth.**

**16.**

**The sum of the squares of two consecutive odd natural numbers is 290. Find the numbers.**

**17.**

**The sum of the squares of two consecutive even natural numbers is 244. Find the numbers.**

**18.**

**The sum of the squares of two consecutive even natural numbers is 164. Find the numbers.**

**19.**

**The sum of the squares of two consecutive even natural numbers is 20. Find the numbers.**

**20.**

**The sum of the squares of two consecutive odd natural numbers is 74. Find the numbers.**