MEDIUM
Earn 100

In each of these question, two equations are given. You have to solve these equations and find out the values of x and y and
Give answer, If
1) x < y
2) x > y
3) x ≤ y
4) x ≥ y
5) x = y

I. 8x² + 6x = 5
II. 12y² – 22y + 8 = 0

50% studentsanswered this correctly

Important Questions on Quadratic Equations

MEDIUM
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
MEDIUM

Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

MEDIUM
A dealer sells an article for 16 and loses as much per cent as the cost price of the article. Find the cost price of the article.
HARD

A motor boat whose speed is 18 km/hour in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. If the speed of the stream is x km/hour, find x.

MEDIUM
7500 were divided equally among a certain number of children. Had there been 20 less children, each would have received 100 more. Find the original number of children.
MEDIUM
A train travels 360 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 3 hours less for the same journey. Find the speed(in km/h) of the train.
MEDIUM
Find two consecutive odd positive integers, sum of whose squares is 290.
MEDIUM

Find two consecutive odd positive integers, sum of whose square is 290.

HARD

The sum of the areas of two squares is 400 sq.m. If the difference between their perimeters is 16m, find the sides of two squares

MEDIUM
Find two consecutive natural numbers whose product is 20.
EASY
If the price of 1 dozen pens is reduced by 6, then 3 more pens will be bought at 30. Calculate the price of one dozen pens (in ) before the reduction of price.
MEDIUM
Two water taps together can fill a tank in 178 hours. The tap with longer diameter takes 2 hours less than the tap with smaller one to fill the tank separately. Find the time in which each tap can fill the tank separately.
MEDIUM

The sum of a number and its reciprocal is 265. Find the number.

EASY
The product of two consecutive positive integers is 30. This can be expressed algebraically as
MEDIUM
Find two consecutive odd positive integers, sum of whose squares is 394.
MEDIUM
If x4-83x2 + 1=0, then a value of x3  x3 is:
HARD
Two water taps together can fill a tank in 938 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
MEDIUM
The sum of the squares of two consecutive odd positive integers is 650. Find the numbers
HARD
In a flight of 600 km, an aircraft was slowed due to bad weather. Its average speed for the trip was reduced by 200 km/hr and time of flight increased by 30 minutes. Find the original duration of flight.
MEDIUM
A plane left 30 minutes late than its scheduled time and in order to reach the destination1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed.