Question
If a + b + c = 6, a³ + b³ + c³-3abc =
342, then what is the value of ab + bc + caSolution
Here is 2 equation and 3 variable Extra variable it can be put anything else = C = 0 A + b = 6, a3 + b3 = 342 Ab = ? = (a +b)3 = a3 + b3 + 3ab (a + b) = 216 = 342 + 3ab × 6 = 18ab = 126 = ab = 7
I. 8y2 - 2y - 21 = 0
II. 2x2 + x - 6 = 0
I. 9/(4 )p + 7/8p = 21/12
II. 7/5p = 9/10q + 1/4
I. x² – 44x + 468 = 0
II. y² – 30y + 216 = 0
I. 96y² - 76y – 77 = 0
II. 6x² - 19x + 15 = 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
Find the roots of the equation 6p² – 5p – 6 = 0.
I. 10p² + 21p + 8 = 0
II. 5q² + 19q + 18 = 0
I. 2x² - 11x + 12 = 0
II. 12y² + 29y + 15 = 0
- What should be the value of t in the equation x² + tx + 64 = 0 so that it has two equal real roots?
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...