Practice questions in this section will be much useful for the students who would like to practice the concept quadratic equation.

(1) Check whether the following are quadratic equations:

(i) (x + 1)² =  2 (x – 3)            Solution

(ii) x² - 2 x  =  (-2) (3 - x)

(iii) (x - 2) (x + 1)  =  (x - 1) (x + 3)

(iv) (x - 3) (2x + 1)  =  x (x + 5)

(v) (2 x - 1) (x - 3)  =  (x + 5) (x - 1)

(vi) x² + 3 x + 1  =  (x - 2)²

(vii) (x + 2)³  =  2 x (x² - 1)

(vii) x³ - 4 x² - x + 1  =  (x - 2)³

(2) Represent the following situations in the form of quadratic equations :

(i) The area of a rectangular plot is 528 m². The length of the plot (in meters) is one more than twice its breadth. We need to find the length and breadth of the plot.

(ii) the product of two consecutive positive integers is 306. We need to find the integers.         Solution

(iii) Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age.

(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.          Solution

After having gone through the stuff and examples,  we hope that the students would have understood, worksheet on quadratic equations with answers.

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Domain and range of rational functions

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Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

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