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Find the roots of the following quadratic equations, if they exist, by the method of completing the square:

$(i)2x^{2}-7x+3=0$

$(ii)2x^{2}+x-4=0$

$(iii)4x^{2}+4\sqrt{x}+3=0$

$(iv)2x^{2}+x+4=0$

Asked by Ashish 12/06/2019 Last Modified 14/08/2019

3 Answers

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Related Questions

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.

Let the average speed of the passenger train be 'x' km/hr and the average speed of the express train be (x + 11) km/hrDistance between Mysore and Bangalore = 132 kmIt is given that the time taken by the...

0 0

Sum of the areas of two squares is 468 m2 . If the difference of their perimeters is 24 m, find the sides of the two squares.

Let the sides of first and second square be X and Y . Area of first square = (X)²And,Area of second square = (Y)²According to question,(X)² + (Y)² = 468 m² ------------(1).Perimeter...

Ann

0 0

Find the roots of the following equations:

$(i)x-\frac{1}{x}=3, x \neq 0$

$(ii)\frac{1}{x+4}-\frac{1}{x-7}=\frac{11}{30},x\neq -4,7$

i) Multiply by x this resembles a Quadratic equation. a=1,b=-3,c=-1 ii) Multiplying both sides by x(x-1)-2(x-1)=0 (x-1)(x-2)=0 x=1 or x=2

Nilesh

0 0

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

Let the length of the shorter side be x metres. The length of the diagonal= 60+x metres The length of the longer side =30+x metres Applying Pythagoras theorem, Diagonal²=longer side²+shorter...

Abhishek

0 0

The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now is 1/3 Find his present age.

Let Rehman's present age be x So before 3 years age=(x-3) years His age after 5 years= (x+5) years So a/c to given data x(x-7)+3(x-7)=0 (x-7)(x+3)=0 So, x=7 or -3 Age can not be negative soRehman's present age is 7 years.

Seemi

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