निम्नलिखित वाक्य का

Suppose xy = -15 and (x² + y²) = 34, then determine the value of (x – y).

Find ‘x’ if (x³+3x)/(3x²+1) = 189/61

 = ?

Find the value of the given expression-

(4^x+4 -5× 4^x+2) / 15×4^x – 2²×4^x

‘a’ is directly proportional to ‘b’. If at a=30, the value of ‘b’ is 20% greater than ‘a’, then find the value of ‘a’ when b=54.

If n = 3 + √2, then find the value of (n + 1/n)².

Find the values of 'a' and 'b', so that the polynomial x³ − ax² − 13x + b has (x−1) and (x+3) as factors:

If x = 19, then the value of x⁵ - 20x⁴ + 20x³ - 20x² + 20x - 1 is

Which of the following statements is correct?

I. If x = 12, y = –2 and z = –10, then x³ + y³

+ z³ = 720