University:
North Central College
Course:
MATH 140 | Precalculus
Academic year:

2023
Views:

202

Pages:

3
Author:

sonalhava9qv

In the given questions, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option. (a) x > y (b) x < y (c) x = y or the relationship cannot be established (d) x ≥ y (e) x ≤ y 1) I. x³/4/162 = x-1/4/9 II. y² = 1/7 of 2268 2) I. (49x²)1/2 – 133 = 0 II. (324𝑦2)1/2 – 126 = 0 3) I. x³/2 – 9/x1/2 = 0 II. y² – 7y + 12 = 0 4) I. 3x² + 17x + 10 = 0 II. 10y² +9y + 2 = 0 5) I. x2 - 17√𝟓x + 360 = 0 II. y² - 21√𝟓y + 550 = 0 6) I. x2 + 3√𝟐 x – 80 = 0 II. y 2 – 5√𝟐 y – 100 = 0 7) I. x2 - 17√𝟑x + 216 = 0 II. y 2 - 15√𝟑y + 168 = 0 8) I. 3x² + 6x – 14 = -5 II. y² + 13y + 20 = -16 9) I. 3x² + 5x – 22 = 0 II. -14/y = 5y + 17 10) I. (y – 30)2 = 729 II. (x + 19)2 = 225 11) I. (25x²)1/2 – 105 = 0 II. 361/2y – 114 = 0 12) I. x² – 4x – 32 = 0 II. y² -16y + 64 = 0 13) I. 3x² -15x + 18 = 0 II. y² – y – 6 = 0 14) I. x2 - 4√𝟓x + 15 = 0 II. y² - 6√𝟓y + 40 = 0 15) I. x2 - 11√𝟑x + 84 = 0 II. y2 - 13√𝟔y + 252 = 0 16) I. x² + 5x – 14 = 0 II. y² – 7y + 10 = 0 17) I. 4x² + 4x – 15 = 0 II. y² + 13y + 36 = 0 18) I. x2 – 4√𝟑x – 36 = 0 II. y 2 – 5√𝟐y – 72 = 0 19) I. 5x² – 27x + 36 = 0 II. 3y² + 7y – 6 = 0 20) I. x2 - 17√𝟓x + 360 = 0 II. y² - 15y + 56 = 0 21) I. 28x² - 41x +15 = 0 II. 35y²- 43y +12= 0 22) I. 2x² -26x +80 = 0 II. 2y²-38y + 176 = 0 23) I. 7x – 9y +51 = 0 II. 13y -11x -63 = 0 24) I. 7x2 + √𝟕x – 20 = 0 II. 7y2 – 10√𝟕y + 21 = 0 25) I. x2 - 9√𝟕x + 140 = 0 II. y 2 - 7√𝟑y + 36 = 0 26) I. x² +13x +42 = 0 II. y² +12y +36 = 0 27) I. x² +2x -143 = 0 II. 2y² +4y -286 = 0 28) I. x2 - 3√𝟏𝟕x + 34 = 0 II. y² - 3√𝟏𝟑y + 26 = 0 29) I. 19x +17y = 220 II. 17x +19y = 212 30) I. x2 - 34√𝟓x + 1440 = 0 31) I. x²-15x +50 = 0 II. y² - 29√𝟑y + 624 = 0 II. y² +25y +150 = 0 32) I. 40x²-67x +28 = 0 II. y = (512/1000)1/3 33) I. 2x²-13x +20 = 0 II. 2y²-21y +54 = 0 34) I. 11y – 12x = 21 II. 15x -9y = 45 35) I. 280/x² + 4 = 68/x II. 84/y² +3 = 33/y 36) I. x2 - 19√𝟑x + 252 = 0 II. y² - 20√𝟖y + 792 = 0 37) I. 2x²-3x -9 = 0 II. y²-29y +54 = 0 38) I. 3x²-6x +12 = 7x II. 4y² –y -12 = y 39) I. 6x²-5x -4 = 0 II. 4y²-16y +15 = 0 40) I. 14x2 - 5√𝟏𝟓x - 90 = 0 II. 6y 2 + √𝟐𝟏 y - 21 = 0 41) I. x² – 1200 = 244 II. y + 122 = 159 42) I. 14x – 25 = 59 – 7x II. √ (𝑦 + 222) - √36 = √81 43) I. 144x² – 16 = 9 II. 12y + √4 = √49 44) I. x² – 9x + 20 =0 II. y² – 13y + 42 =0 45) I. √𝑥/5 + 3√𝑥/10 = 1/√𝑥 46) I. x2 - (√2 + √5) x + √10 = 0 II. 10/√𝑦 -2/√𝑦 = 4√𝑦 II. y² - 2√𝟓y + 5 = 0 47) I. 3x² + 29x + 56 =0 II. 2y² + 15y + 25 =0 48) I. 3x² + 23x + 44 =0 II. 3y² + 20y + 33 =0 49) I. 4x² – 29x + 45 =0 II. 3y² – 19y + 28 =0 50) I. x2 + (1 - √2) √3x - 3√2 = 0 II. y² - 3y - 18 = 0 51) I. 9x² – 37x + 30 =0 II. 3y² – 19y + 30 =0 52) I. 2x² – 17x + 36 =0 II. 5y² – 33y + 40 =0

52 Quadratic Equations Questions

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