I. y² + y – 56 = 0
II. 2x² + 11 x – 40 = 0
I. y² + y – 56 = 0 y² + 8y - 7y – 56 = 0 y (y + 8) – 7(y + 8) = 0 y = 7, - 8 II. 2x² + 11 x – 40 = 0 2x² - 5 x + 16x – 40 = 0 x (2 x – 5) + 8 (2x – 5) = 0 (x + 8) (2 x – 5) = 0 x = - 8, 5/2 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.
4567.89 - 567.89 - 678.89 = ?
Find the unknown value of' x' in the proportion $$(5x + 1) : 3 = (x + 3) : 7
[(√ 529) + 67] x 5 = ?
5760 ÷ 45 × 15 = ?
I. 8x² - 74x + 165 = 0
II. 15y² - 38y + 24 = 0
36 x 3.6 ÷ 0.5 ÷ ? = 64
1780 – 60 ÷ 4 x 80 = ?
If √3n 729, then the value of n is equal to:
{(80% of 650 + 25 × 12) – 20 × ?} = 760
{(522 – 482 ) ÷ (27 + 73)} × 35 = ?% of 17