Question
I. 12y2 + 11y – 15 = 0 II.
8x2 – 6x – 5 = 0Solution
I. 12y2 + 11y – 15 = 0 12y2 – 9 y + 20y – 15 = 0 3 y(4 y – 3) + 5(4 y – 3) = 0 (3 y + 5) (4 y – 3) = 0 y = 3/4, -5/3 II. 8x2 – 6x – 5 = 0 8x2 – 10x + 4x – 5 = 0 2x(4x – 5) + 1(4x – 5) = 0 (4x – 5) (2 x+1) = 0 x = 5/4, -1/2 Hence, relationship cannot be established between x and y. Alternate Method: Remember whenever roots of x & y are + & - both, there is no need to find the exact value of roots. In this case, there will be always no relation between x & y. Hence relationship between x & y cannot be established.
A sum of money, invested for 8 years on 5% per annum simple interest, amounted to ₹287 on maturity.
What was the sun invested in?
If a sum of money doubles in 5 years at simple interest, what is the rate of interest per annum?
Rs. 4000 when invested at 6% p.a. for (x + 4) years gives a simple interest of Rs. 4800. Find the amount received when the same sum is invested at 5% p....
Simple interest on Rs. 1500 at R% per annum for 2 years is Rs. 240. Find the simple interest on Rs. 2000 at (R + 5)% per annum for 4 years.
Simple interest earned on an amount of Rs.1200 at rate of R% per annum after 2 years is Rs.216. Find the simple interest earned on an amount of Rs.1400 ...
Rs.13000 was invested for 2 years in scheme A which offers compound interest at 10% per annum. What approximate interest earned on investing the amount ...
A took a loan of Rs.5410 at simple interest of 15% p.a. and invested the same money in a scheme at simple interest of 25% p.a. Find the profit earned by...
What will be the simple interest on Rs. 6,20,000 from March 30, 2011 to November 04, 2011 at 12 % p.a?
Rohit invested Rs. ‘x’ and Rs. ‘y’ in Scheme A and Scheme B respectively. He invested in Scheme A for 5 years at a simple interest rate of 6% p....
- Karan invested Rs. 45,000 in scheme 'X' and Rs. 30,000 in scheme 'Y' on simple interest. Scheme 'X' offers 10% p.a. for 3 years and scheme 'Y' offers 8% p....
