Question
How many such pairs are there in the word DECORATE each
of which has as many letters between them in the word as in the English alphabet (both forward and backward)?Solution
DECORATE DE, EA and RT
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
I. (x13/5 ÷7) = 5488 ÷ x7/5
II. (y2/3 × y2/3 ) ÷ √4 = (343y)1/3...
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
I. 2 x ² + x  – 1 = 0                Â
II. 2 y ² - 3 y + 1 = 0
...Solve the quadratic equations and determine the relation between x and y:
Equation 1: 33x² - 186x + 240 = 0
Equation 2: 35y² - 200y + ...
I. 6x2 - 47x + 77 =0
II. 6y2 - 35y + 49 = 0
Equation 1: x² - 250x + 15625 = 0
Equation 2: y² - 240y + 14400 = 0
I. 10x2 + 33x + 9 = 0
II. 2y2 + 13y + 21 = 0
I. 77x² - 25x – 72 = 0
II. 42y² + 13y – 42 = 0