2(1)x^(2)+6x+5=0

Solve by the method of completing the square: (1) 9x^(2)-15x+6=0 (2) 5x^(2)-6x-2=0

int ( x +2)/( 2x ^(2) + 6x + 5) dx = p int ( 4x +6)/( 2x ^(2) + 6x +5) dx + (1)/(2) int (1)/( 2x ^(2) + 6x + 5) dx then p

Which of the following are quadratic equations? x^(2)+6x-4=0( ii) sqrt(3)x^(2)-2x+(1)/(2)=0 (iii) x^(2)+(1)/(x^(2))=5

Prove that function f(x) = {-2x^(3)+3x^(2)-6x+5,xlt0 -x^(2)-x+1, xge0 is decreasing for all x.

Prove that function f(x) = {-2x^(3)+3x^(2)-6x+5,xlt0 -x^(2)-x+1, xge0 is decreasing for all x.

Prove that function f(x) = {-2x^(3)+3x^(2)-6x+5,xlt0 -x^(2)-x+1, xge0 is decreasing for all x.

Find the roots of the following quadratic equations i) 6sqrt5 x^(2) – 9x -3sqrt5 = 0 ii) x^(2) - x - 12 = 0 iii) 2x^(2) - 6x + 7 = 0 iv) 4x^(2) - 4x+17 = 3x^(2) -10x-17 v) x^(2) + 6x + 34 = 0 vi) 3x^(2) + 2x - 5 = 0