4x2 - 12x = -9 or, 4x2 - 12x + 9 = 0 or, (2x)2 - 2*2x*3 + 32 = 0 or, (2x - 3)2 = 0 or, 2x - 3 = 0 Therefore, x = .....

x2 + 4x + 3 = -1 or, x2 +4x + 4 = 0 or, x2 + 2*x*2 + 22 = 0 or, (x + 2)2 = 0 Therefore, (x + 2) = 0 Therefore, x = .....

x2 - 4x = 21 or, x2 - 4x - 21 = 0 or, x2 - 7x + 3x - 21 = 0 or, x(x - 7) + 3(x - 7) = 0 or, (x + 3)(x - 7) = 0 Either,  (x + 3) = 0 Therefore, x = -3. Or, (x - 7) = 0 Therefore, x = 7. Therefore, x = -3, .....

x2 + 10x + 16 = 0 or, x2 + 2x + 8x + 16 = 0 or, x(x + 2) + 8(x + 2) = 0 or, (x + 8)(x + 2) = 0 Either, (x + 8) = 0 Therefore, x = -8. Or, (x + 2) = 0 Therefore, x = -2. Therefore, x = -2, - .....

x2 - a2 = 0 or, (x - a) (x + a) = 0 Either (x - a) = 0 Therefore, x = a. Or, (x + a) = 0 Therefore, x = -a. Therefore, x = -a, .....

Here, x2 - 36 = 0 or, x2 - 62 = 0 or, (x + 6)(x - 6) = 0  [ a2 - b2 = ( a+ b) (a - b)] So, either x + 6 = 0 this implies x = 6  Or, x - 6 = 0 this implies x =  6  Hence x = - 6 or, .....

प्रथमा र तृतीया विभक्तिमा प्रयोग हुने ‘ले’ विभक्ति तथा द्वितीया र चतुर्थी विभक्तिका .....

The registered voters of the respective wards select their ward chairperson and other members through an .....

Formula in mathematics: A special type of equation that shows the relationship between different variables. Example: The formula for the volume of a box is  V = l × w × h Which has these variables: • V stands for .....

A ward committee is formed in each ward. It consists of the members elected by the adult citizen of the country living in the concerned ward.  There shall be ward chairperson, a woman ward member and three other .....

The four bad custom of our society are written below: - Untouchability - Chhaupadi Pratha - Jhuma Pratha - Dowry .....

Here, 4x2 = 2x + 12 or, 4x2 - 2x - 12 = 0 or, 2(2x2 - x - 6) = 0 or, 2x2 - x - 6 = 0 or, 2x2 - 4x + 3x - 6 = 0 or, 2x(x - 2) + 3(x - 2) = 0 or, (x - 2) (2x + 3) = 0 So, either x - 2 = 0 this .....

Here, (x - 4)(x - 3) = 0 So, either x - 4 = 0 this implies x = 4. Or, x - 3 = 0  this implies x = 3 Therefore, x = 3 or .....

Here, (2x +2)(2x - 2) = 0 So, either 2x + 2 = 0 this implies 2x = - 2 or, x = -2/2 or, x = -1 Or, 2x - 2 = 0  this implies 2x = 2 or, x = 2/2 or, x = 1 Therefore, x = -1 or .....

Here, given 18/9 = 2/1 and 12/7 for this types of question, first you have to make equal denominator or numerator.  here I am going to make denominator equal. For this,  (2/1) x (7/7) = 14/7 Again, we have, 12/7 So, 14/7 is greater .....

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Here, 4x2 - 81 = 0 or, (2x2 - 92) = 0 or, (2x + 9)(2x - 9) = 0  [ a2 - b2 = ( a+ b) (a - b)] So, either 2x + 9 = 0 this implies 2x = -9 or, x = -9/2 Or, 2x - 9 = 0 this implies 2x =  9 or, x = 9/2 Hence x = -9/2 or, .....

To conserve wild animals,  poaching (hunting wild animals) are strictly prohibited in such .....

The sources of light made by human such as torch light, electric bulb, candle, matchstick etc. are artificial sources of .....

Here, According to question. perimeter of the given trapezium ≤ 29 x + (2x - 3) + x + (4x + 8) ≤ 29 or, 8x + 5 ≤ 29 or, 8x ≤ 29 - 5 or, 8x  ≤ 24 or, x ≤ 24/8 or, x ≤ 3 so, x = 3, 2, 1 .....

Here, x2 = 25 or, x2 - 25 = 0 or, x2 - 52 = 0 or, (x + 5) (x - 5) = 0  [ a2 - b2 = (a + b)(a  - b)] this implies, either, x + 5 = 0 or , x = -5 OR, x -5 = 0 or, x = 5 Hence, x = -5 or .....

Jayatu Sanskritam movement was initiated on 1st Ashad 2004 BS. It was a democratic movement in the history of Nepal. It was initiated by the Tindhara School in Nepal. They demanded democracy and the inclusion of modern subjects in their .....

Nepal Praja Parishad was the first attempt to form an organization to lead the revolution against the Rana dynasty in Nepal. It was founded in 1939 when they received the support of additional people including Dharma Bhakta Mathema among .....

Here, x(x + 5) = 0 this implies, either x = 0 or, x + 5 = 0 or, x = -5 so, x = -5 or .....

  4x2 + 6x = 10 or, 2(2x2 + 3x) = 10  [ taking common 2] or, (2x2 + 3x) = 10/2 or, 2x2 + 3x = 5 or , 2x2 + 3x - 5 = 0 or, 2x2 + 5x -  2x - 5 = 0 or, x( 2x + 5) - 1(2x + 5) =  or, (2x + 5) (x - 1) = 0 so, .....

The difference between Prime Meridian and International Date Line is shown in the table below:

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2z + z + y + x = 360 or, 3z + y + x = 360  [ only like terms can be add and .....

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Now, 

∠ACD = a = 80∘  [ triangle ABD is an isosceles triangl] Now, b .....

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The main idea of Christianity is love to one another. It believes that Jesus is the saviour of the world. Similarly, the Kirant religion tells that Kiratis do not believe in idol worship, we believe in divinity, soul and pray to .....

Here, 

∠APB  = 90∘ [ Angle made by semicircle] ∠XPB + ∠XPA = 90∘       .........(i) ∠XPY = 90 ∘ [ Angle made .....

Some ways to vegetable farming on the balcony and roof top are: 1. Creating a vegetable garden in pots: In containers you can plant almost any vegetable. Choose large and deep pots, avoid thin and poor quality plastic pots because they heat up .....

Definitely, positive thinking is necessary to develop decision making skill. Persons with positive thinking will tackle any problems having no bias against anybody and anything else. It helps people take the right decision at right .....

(ii) Remaining work = 1 - 1/4                                   = (4 - 1)/4                         .....

Nepal was divided into five developmental regions in 2037 BS. Nepal was divided into seven provinces on 20th Sept. 2015. The reasons behind this division are presented below: - To decentralize the power to the local level. - To develop the .....

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The new constitution of Nepal was promulgated on 3rd Ashwin 2072 BS. It was promulgated by the Constitutional Assembly .....

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It is true to say that violence-free happiness and satisfaction is peace. If there is no violence, people can run their daily life in a pleasing way. People enjoy their time with great happiness and satisfaction. Thus, the state of happiness .....