I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
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.
`2(1/3)` + `4(1/4)` + `4(2/3)` + `8(7/6)` + ? = `4(3/5)xx4(1/2)`
...1053 ÷ 27 + 17 × 9 = ?
10% of 100 + 14 = ?% of 120
√10000 × √8100 - (50)² = √(?) + (80)²
1156 ÷ 17 × 5 – 156 = (8)?
(25 + 12) x 6 + 34 = ? + 18
215 + 378 – 23 + 15 - 27 = ? + 3² + 16²
1404 ÷ 26 x 3 + 7 = ?2
40% of (362 ÷ 0.05) = ?
17.8 + 3/7 of 89.6 = ?