Last seen: Jun 14, 2021
The age of one friend be x years. Then, the age of the other friend will be (20 – x) years. Four years ago, Age of First friend = (x – 4) years ...
Let the breadth of mango grove be l. Length of mango grove will be 2l. Area of mango grove = (2l) (l)= 2l2 2l2 = 800 l2 = 800/2 = 400 l2 – 4...
(i) 2x2 + kx + 3 = 0 Comparing the given equation with ax2 + bx + c = 0, we get, a = 2, b = k and c = 3 As we know, Discriminant = b2 – 4ac = ...
2x2 – 6x + 3 = 0 Comparing the equation with ax2 + bx + c = 0, we get a = 2, b = -6, c = 3 As we know, Discriminant = b2 – 4ac = (-6)2 – 4 (2)...
(i) Given, 2x2 – 3x + 5 = 0 Comparing the equation with ax2 + bx + c = 0, we get a = 2, b = -3 and c = 5 We know, Discriminant = b2 – 4ac = ...
Let the sides of the two squares be x m and y m. Therefore, their perimeter will be 4x and 4y respectively And area of the squares will be x2 and ...
Let us say, the average speed of passenger train = x km/h. Average speed of express train = (x + 11) km/h Given, time taken by the express train ...
The smaller pipe to fill the tank = x hr. Time taken by the larger pipe = (x – 10) hr Part of tank filled by smaller pipe in 1 hour = 1/x Part o...
Let us say, the speed of the train be x km/hr. Time taken to cover 360 km = 360/x hr. As per the question given, ⇒ (x + 5)(360-1/x) = 360 ⇒ 36...
Let us say, the larger and smaller number be x and y respectively. As per the question given, x2 – y2 = 180 and y2 = 8x ⇒ x2 – 8x = 180 ⇒ x2 –...
Let us say, the shorter side of the rectangle be x m. Then, larger side of the rectangle = (x + 30) m Diagonal of the rectangle = As given, the...
The marks of Shefali in Maths be x. Then, the marks in English will be 30 – x. As per the given question, (x + 2)(30 – x – 3) = 210 (x + 2)(27...
Let us say, present age of Rahman is x years. Three years ago, Rehman’s age was (x – 3) years. Five years after, his age will be (x + 5) years. ...
(i) x-1/x = 3 ⇒ x2 – 3x -1 = 0 On comparing the given equation with ax2 + bx + c = 0, we get a = 1, b = -3 and c = -1 By using quadratic formu...
(i) 4x2 + 4√3x + 3 = 0 On comparing the given equation with ax2 + bx + c = 0, we get a = 4, b = 4√3 and c = 3 By using quadratic formula, we get...
(i) 2x2 – 7x + 3 = 0 On comparing the given equation with ax2 + bx + c = 0, we get, a = 2, b = -7 and c = 3 By using quadratic formula, we get, ...
(i) 4x2 + 4√3x + 3 = 0 Converting the equation into a2+2ab+b2 form, we get, ⇒ (2x)2 + 2 × 2x × √3 + (√3)2 = 0 ⇒ (2x + √3)2 = 0 ⇒ (2x + √3) = 0...
(i) 2x2 – 7x + 3 = 0 ⇒ 2x2 – 7x = – 3 Dividing by 2 on both sides, we get ⇒ x2 -7x/2 = -3/2 ⇒ x2 -2 × x × 7/4 = -3/2 On adding (7/4)2 to bot...
The number of articles produced be x. Therefore, cost of production of each article = Rs (2x + 3) Given, total cost of production is Rs.90 ∴ x(2...
The base of the right triangle be x cm. The altitude of right triangle = (x – 7) cm From Pythagoras theorem, we know, Base2 + Altitude2 = Hypote...