" 7."x^(2)+6x+5=0

Add 7x^(2) -8x + 5, 3x^(2) -8x +5 and -6x^(2) + 15x - 5

The locus of a point which moves so that the ratio of the length of the tangents to the circles x^(2)+ y^(2)+ 4x+3 =0 and x^(2)+ y^(2) -6x +5=0 is 2 : 3 is a) 5x^(2) +5y^(2) - 60x +7=0 b) 5x^(2) +5y^(2) +60x -7=0 c) 5x^(2) +5y^(2) -60x -7=0 d) 5x^(2) +5y^(2) +60x +7=0

6x^(2)+7x-10=0

Two non-integer roots of (x^(2) - 5x)^(2) - 7 (x^(2) - 5x) + 6 = 0 are

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

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

Find the equation whose roots are reciprocals of the roots of 5x^(2)+6x+7=0 .