(vii)18x^(2)-9x-14=0

Suppose that two persons A and B solve the equation x^(2)+ax+b=0 . While solving A commits a mistake in constant term and find the roots as 6 and 3 and B commits a mistake in the coefficient of x and finds the roots as -7and-2 .Then , the equation is a) x^(2)+9x+14=0 b) x^(2)-9x+14=0 c) x^(2)+9x-14=0 d) x^(2)-9x-14=0

Find the value of x and y I. 18x^(2)-9x+1=0 II. 12y^(2)-y-1=0

Find the roots of the equation 2x^(2)-9x-18=0

The circles whose equations are x^(2)+y^(2)+10x-2y+22=0 and x^(2)+y^(2)+2x-8y+8=0 touch each other. The circle which touch both circles at, the point of contact and passing through (0,0) is, 1) 9(x^(2)+y^(2))-15x-20y=0, 2) 5(x^(2)+y^(2))-18x-80y=0 3) 7(x^(2)+y^(2))-18x-80y=0, 4) x^(2)+y^(2)-9x-40y=0 ]]

Let two numbers have arithmatic mean 9and geometric mean 4 .Then these numbers are roots of the equation (a) x^(2)+18x+16=0 (b) x^(2)-18x-16=0 (c) x^(2)+18x-16=0( d) x^(2)-18x+16=0

Find the equation of the circle which cuts the circles x^(2)+y^(2)-9x+14=0 and x^(2)+y^(2)+15x+14=0 orthogonally and passes through the point (2,5)

Find the nature of the roots of the equations of given below : (a) x^(2) - 13x + 11 =0 (b ) 18x^(2) - 14x + 17 = 0 (c ) 9x^(2) - 36x + 36 = 0 (d) 3x^(2) - 5x - 8 = 0

If x=9 is the chord of contact of the hyperbola x^(2)-y^(2)=9 then the equation of the corresponding pair of tangents is (A)9x^(2)-8y^(2)+18x-9=0(B)9x^(2)-8y^(2)-18x+9=0(C)9x^(2)-8y^(2)-18x-9=0(D)9x^(^^)2-8y^(^^)2+18x+9=0'

If (-2) is the zero of polynomial 9x^(3)+18x^(2)-x-2 find the remaining zeros.

Write the eccentricity of the ellipse 9x^(2)+5y^(2)-18x-2y-16=0