9x^(2)+x-6=0

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

Use the remainder theorem to factorise the expression 2x^(3) + x^(2) + 7x-6 . Hence, solve the equation 2x^(3) + 9x^(2) + 7x-6=0

If f'(x) = 9 x^(2) - 6 x and f (0) = - 3 , find f(x)

Write the discriminant of the following quadratic equations and mention the nature of the root : (a) 9x^(2)-6x+1=0 (b) x^(2)+x-12=0 (c ) 4sqrt3x^(2)+5x+2sqrt3=0

If alpha ,beta are the roots of the equation 9x^(2)-7x+6=0 then the equation whose roots are 3 alpha+2 , 3 beta+2 is - 1) 3x^(2)+19x-144=0 2) 3x^(2)-19x+144=0 3) 3x^(2)-19x+44=0 4) 3x^(2)-19x-44=0

the equation whose roots are multiplied by -3 of those of 9x^(2)-6x^(2)+5x-4=0 is

Determine the nature of roots of the following quadratic equations: (i) 2x^(2)+5x-4=0 (ii) 9x^(2)-6x+1=0 (iii) 3x^(2)+4x+2=0 (iv) x^(2)+2sqrt2x+1=0 (v) x^(2)+x+1=0 (vi) x^(2)+ax-4=0 (vii) 3x^(2)+7x+(1)/(2)=0 (viii) 3x^(2)-4sqrt3x+4=0 (ix) 2sqrt3x^(2)-5x+sqrt3=0 (x) (x-2a)(x-2b)=4ab