If one root of the equation x² - kx + k = 0 exceeds the other by 2√3, then which one of the following is a value of k?
6
Using the quadratic formula and the condition that the difference between the roots is 2√3, we solve for k = 6.
If \( k < (\sqrt{2} + 1)^3 < k + 2 \), where \( k \) is a natural number, then what is the value of \( k \)?
If x + \frac{5}{y} = 4 and y + \frac{5}{x} = -4, then what is (x + y) equal to?
In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.
I. x2 – 26x + 165 = 0
II. y2 – 38y + 357 = 0
Factorize the following:
(x 2- 6xy + 9y 2) - 25
If P and Q are the points on the line Joining A(-2, 5) and B(3, 1) such that
AP = PQ = QB, then the mid point of PQ is
If a number and its reciprocal added it becomes 6, then what will be sum of its square and square of its reciprocal?
If 3x + 2y = 15, and xy = 6. Find the value of (3x3/2) + (4y3/9).