Question
I. 2x² - 15x  + 13 = 0
II. 3y² - 6y + 3 = 0
Solution
I. 2 x ² - 15 x  + 13=0 2 x ² - 2 x - 13 x  + 13= 0 2 x  ( x  – 1) – 13 ( x – 1) (2 x – 13) ( x  – 1) = 0 x = 1, 13/2 II. 3 y ² - 6 y  + 3 = 0 3 y ² - 3 y  - 3 y + 3 = 0 3 y ( y – 1) - 3 ( y  – 1) (3 y – 3) ( y – 1) = 0  y = 1, 1  Hence, x ≥ y
More Quadratic equation Questions
- Solve the quadratic equations and determine the relation between x and y: Equation 1: 13x² - 60x + 47 = 0 Equation 2: 17y² - 80y + 63 = 0
- I. 4x2 + 9x - 9 = 0 II. 4y2 - 19y + 12 = 0
- I. 40 x² - 93 x + 54 = 0 II. 30 y² - 61 y + 30 = 0
- Find the roots of the equation 6p² – 5p – 6 = 0.
- Equation 1: 2x2Â - 21x + 54 = 0 Equation 2: 4y2Â - 23y + 15 = 0 Difference between the roots of equation 1 is approximately how much% more or less than the s...
- If the quadratic equation x² + 18x + n = 0 has real and equal roots, what is the value of n?
- Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 24x + 143 = 0 Equation 2: y² - 20y + 96 = 0
- I. 3x2 – 17x + 10 = 0 II. y2 – 17y + 52 = 0
- Solve the quadratic equations and determine the relation between x and y: Equation 1: x² - 30x + 221 = 0 Equation 2: y² - 28y + 189 = 0
- I. x² - 33x + 270 = 0 II. y² - 41y + 414 = 0