Question
I. 2y2 – 19y + 35 = 0 II.
4x2 – 16x + 15 = 0Solution
I. 2y2 – 19y + 35 = 0 2y2 – 5y – 14 y + 35 = 0 y (2 y – 5) – 7(2 y – 5) = 0 (2 y – 5)(y – 7) = 0 y = 7, 5/2 II. 4x2 – 16x + 15 = 0 4x2 – 6x – 10 x + 15 = 0 2 x(2 x – 3) – 5(2 x – 3) = 0 (2 x – 3)(2x – 5 )=0 x = 5/2, 3/2 Hence, x ≤ y Alternate Method: if signs of quadratic equation is - ve and +ve respectively then the roots of equation will be +ve and +ve. So, roots of first equation = y = 7, 5/2 So, roots of second equation = x = 5/2, 3/2 After comparing we can conclude that x ≤ y.
In a coaching institute, there are 80 mathematics teachers, 60 English teachers, 100 physics teachers, and 40 chemistry teachers. The ratio of male to f...
- The mean proportional of 8 and 50 is _____.
The ages of A, B and C are in the ratio of 5:4:8 respectively. If the sum of their ages is 51 years, then find the age of B.
Marks scored by A and B in a test are in the ratio 12:7 respectively. If B had scored 6 more marks, then marks scored by A would be 20% more than that o...
Rs 2279 was divided among Anil, Bhanu and Charan in the ratio of 16:9:18 respectively. Find the amount received by Anil and Bhanu together.
The ratio of A's age to B's age is 1:4, and the ratio of B's age to C's age is 4:5. D is 20 years older than B. Additionally, the ratio of C's age to D'...
The ages of A, B and C are in the ratio of 5:3:7 respectively. If the sum of their ages is 60 years, then find the age of B.
A total of 504 sweets were distributed among 'P', 'Q', and 'R' in the ratio of 8:7:6, respectively. Additionally, 36 cream rolls ...
If the third proportion of 45 and 60 is β0.5kβ, then find the value of (k β 20) : (k + 40).
What number has to be added to each term of 5:6 to make the ratio 7:8?