Practice Quadratic equation Questions and Answers

• I. √(17x) + √51 = 0    II. √(4y) + 3 = 0
• I. x2 – 36 = 0 II. y2 - 7y + 6 = 0
• I. x + 1 = 3√ 9261 II. y + 1 = √ 324
• I. (y – 5)2 – 9 = 0 II. x2 – 3x + 2 = 0
• I. 6x2 – 7x - 20 = 0 II. 3y2 - y - 14 = 0
• Equation 1: 2x2 - 21x + 54 = 0 Equation 2: 4y2 - 23y + 15 = 0 Difference between the roots of equation 1 is approximately how much% more or less than the...
• What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its spee...
• 1.3wx = 40 – wy 2. b2 = 2b + p 3. d2 + d = q Now, observe the given conditions: One root of equation 1 is -8. There exists a common root between equation...
• Let 's' represent the sum of the highest root of equations I and III, and 'r' denote the product of the lowest root of equation I and the highest root of e...
• Solve both equations I & II and form a new equation III in variable ‘r’ (reduce to lowest possible factor) using roots of equation I and II as per ins...
• I. 2p2 + 25p – 13 = 0 II. 2q2 – 19q = 2q + 23
• I. 6p2 – 7p = 5p – 7p2 + 25 II. 11q2 – 63q + 90 = 0
• I. 27(p + 2) = 2p(24 – p) II. 2q2 – 25q + 78 = 0
• I. 25p + 2(2p2 – 1) = 8(p + 5) II. 8q2 + 35q – 78 = 0
• I. 14p2 – 135p + 81 = 0 II. 7q2 – 65q + 18 = 0
• LCM of 'x' and 'y' is 30 and their HCF is 1 such that {10 > x > y > 1}. I. 2p²- (x + y) p + 3y = 0 II. 2q² + (9x + 2) = (3x + y) q
• If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?
• What will be the product of smaller roots of both equations. 
• I). 5p2  - p - 4 = 0 II). q2 - 12q + 27 = 0
• I). p2 + 8p + 15 = 0 II). q2 + 9q + 20 = 0
• I). 4p + 3q = 25 II). 5p + 2q = 26 
• I). p2 + 17p - 234 = 0 II). q2 - 21q + 108 = 0
• I). p2 = 81 II). q2 - 9q + 14 = 0
• I:  x2 - 33x + 242 = 0 II:  y2 - 4y - 77 = 0
• I: x2 + 31x + 228 = 0 II: y2 + 3y – 108 = 0
• I: 2x² - 8x + 6 = 0 II: 3y² - 12y + 9 = 0
• I: x² - 10x + 21 = 0   II: 4y² - 16y + 15 = 0
• I: 3x² - 18x + 24 = 0 II: 5y² + 10y - 15 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 34x + 285 = 0 Equation 2: y² - 26y + 165 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 24x + 135 = 0 Equation 2: y² - 26y + 153 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 40x + 300 = 0 Equation 2: y² - 30y + 216 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 36x + 288 = 0 Equation 2: y² - 36y + 320 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 40x + 375 = 0 Equation 2: y² - 36y + 324 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 42x + 392 = 0 Equation 2: y² - 46y + 480 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 32x + 207 = 0 Equation 2: y² - 51y + 648 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 50x + 600 = 0 Equation 2: y² - 51y + 630 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 54x + 704 = 0 Equation 2: y² - 44y + 448 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 22x + 120 = 0 Equation 2: y² - 25y + 144 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 24x + 143 = 0 Equation 2: y² - 26y + 165 = 0
• Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 21x + 110 = 0 Equation 2: y² - 23y + 132 = 0