Solve for `x : 2x^(2) + 5 sqrt(5) x - 15=0`

Solve: sqrt(5)x^(2) + x + sqrt(5) = 0

Solve for x : sqrt3x^(2)+14x-5sqrt3=0

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

Solve for x, log_(x) 15 sqrt(5) = 2 - log_(x) 3 sqrt(5) .

Solve : 2x^(2)-3x+5 lt 0

Solve for x, if : tan (cos^(-1)x)=(2)/(sqrt(5))

Solve for x. x=sqrt(20)xxsqrt5

Solve for x :: x^(3/4(log_2(x))-(5/4))=sqrt(2) .

Solve : x + 2 ge 0 and 2x - 5 le 0

Solve for x: 4^(x+1.5) + 9^(x+0.5) = 10.6^x .