If x₁ and x₂ are the roots of the equations bx²-ax + log₂m^y=0 such that x₁²=a²+x₂² then evaluate the roots in terms of a and b.

A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles . What % profit did he make in the transaction?

The largest and the second largest angle of a triangle are in the ratio of 13:12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

If 12x – 15 y =9x + 5y, the value of $$ {x^{2}+{y^{2}}\over{x^{2}-y^{2}}}$$ is

In an office, 40 % of the staff is female. 70 % of the female staff and 50 % of the male staff are married. The percentage of the unmarried staff in the office is 

The perimeter of the five squares is 24 cm, 32 cm, 40 cm, 76 cm, and 80 cm, respectively. What will be the perimeter of a square whose area is equal to the sum of the area of these squares?

A sum of ₹ 800 amounts to ₹ 920 in 3 years at the simple interest rate. If the rate is increased by 3 % p.a., what will be the sum amount to in the same period? 

(x+2y) (x² + 4y² – 2xy) equal to-