" a) if "(x-5)/(3)=(x-3)/(5)" find ot walm of "x

If 5^(x-3).3^(2x-8)=225 , find x

Find-: (3x+4)(3x-5)

If x=(1)/(sqrt(5)-2) , find the value of x^(3)-3x^(2)-5x+3 .

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)

If x = (sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) , find the value of x^(3) + (1)/(x^(3)) .

If x = -frac(3)(8) then find the value of 2x +5, x + frac(3)(8) , 5 - (-x).

If two of the zeroes of the polynomial p(x)=5x^(4)-5x^(3)-33x^(2)+3x+18 are sqrt((3)/(5)) and -sqrt((3)/(5)) find the other two zeroes.

fx^(4)-x^(3)+x^(2)+3x-5 if x=2+3i Find the value of 'x^(^^)4-x^(^^)3+x^(^^)2+3^(^^)x-5' if x=2+3i