For what value of a does the quadratic equation x² + ax +

If x + y = 10 and xy = 21, find value of x³ + y³.

Find the value of ‘x’ in the given expression:

(49/16)^x × (64/343)^x-1 = 4/7

((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?

If the 14th term of an arithmetic series is 6 and 6th term is 14, then what is  the 95th term?

If (a + b) = 13 and ab = 18, find the value of (a² + b²).

(3^x × 9^(x+1)) / 27^(2x–1) = 1, then find 'x'.

Find the common factor of (x² - 4x - 12) and (x² - 14x - 32).