Practice Quadratic equation Questions and Answers

• I.  3y2 + 13y - 16 = 0 II. 3x2 – 13x + 14 = 0
• I.  p2 - 19p + 88 = 0      II. q2 - 48q + 576 = 0
• i) p2+p=56                                          II) q2-17q+72=0...
• I. x3 = 1728 II. y2 – 15y + 56 = 0
• I. 3x2 = 2x2 + 9x – 20 II. 3y2 = 75
• I. x2 - 4x – 21 = 0 II. y2 + 12y + 20 = 0
• I. x2 + 16x + 63 = 0 II. y2 + 2y - 15 = 0
• I. x2 - 17x + 70 = 0 II. y2 - 11y + 28 = 0
• I. 5x2 – 18x + 16 = 0 II. 3y2 – 35y - 52 = 0
• I. 3x2 – 17x + 10 = 0 II. y2 – 17y + 52 = 0
• I. 3x2 - 16x - 12 = 0 II. 2y2 + 11y + 9 = 0
• I. 6x2 + 23x + 10 = 0 II. 2y2 - 3y - 5 = 0
• I. x2 + 25x + 154 = 0 II. y2 + 27y + 181 = 0
• The roots of the equations x2 + 16x + 63 = 0
• If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is ...
• The quadratic equation (p + 1)x 2 -  8(p + 1)x + 8(p + 16) = 0 (where p ≠ -1) has equal roots. find the value of p.
• I. x2 – 13x + 40 = 0 II. 2y2 – 15y + 13 = 0 
• I. x2 + 24x + 143 = 0 II. y2 + 12y + 35 = 0
• I. 5x + y = 37 II. 4y+ x = 15
• I. x2 – 12x + 32 = 0 II. y2 + y - 20 = 0
• 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