Question
If x −y =4and xy =45,thenthevalueof x 3
−y3is:Solution
X – y = 4 Xy = 45 x 3 −y 3 =(x−y)3+3xy(x−y ) =(4)3+3×45(4) =64 + 540 = 604
More Algebra Questions
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...