" (ii) "9x^(2)+7x-2=0

Solve the quadratic equation having real roots by quadratic formulae :(i)9x^(2)+7x-2=0 (ii) 6x^(2)+x-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

Factorise (i) x^(2)+9x+18 " " (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 " " (iv) 84-2r-2r^(2)

(i) x^(2)+9x+20=0 (ii) y^(2)+7y+12=0

Show that the equation 9x^(2)+7x-2=0 has roots and solve it.

In the following,determine whether the given quadratic equations have real roots and if so, find the roots 9x^(2)+7x-2=0 (ii) 2x^(2)+5sqrt(3)x+6=0

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0

Factorise (i) x^(2)+9x+18 (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 (iv) 84-2r-2r^(2)

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

A(4,0),B(-4,0) are two points.The locus of P which moves such that |PA-PB|=6 is (i)9x^(2)-7y^(2)+63=0 (ii) 9x^(2)+7y^(2)-63=0( iii) 9x^(2)+7y^(2)+63=0 (iv) 9x^(2)-7y^(2)-63=0