3x^(2)-7x+3=0

Examine the nature of the roots of the equations (i) 2x^(2)+2x+3=0 (ii) 2x^(2)-7x+3=0 (iii) x^(2)_5x-2=0 (iv) 4x^(2)-4x+1=0

Without solving, find the nature of the roots of the following equations: (i) 3x^(2)-7x+5=0 . (ii) 4x^(2)+4x+1=0 . (iii) 3x^(2)+7x+2=0 . (iv) x^(2)+px-q^(2)=0 .

If 3x^(2)-7x+2=0 and 15x^(2)-11x+a=0 have a common root and a is a positive real number then the sum of the roots of the equation 15x^(2) -ax +7=0 is

Find the roots of the quadratic equations by applying the quadratic formula.(i) 2x^(2)-7x+3=0 (ii) 2x^(2)+x-4=0 (iii) 4x^(2)+4sqrt(3)x+3=0( iv )2x^(2)+x+4=0

Number of distinct real values of x satisfying the equation x^(3)-5x^(2)+7x-3=0 is

Solve the cubic equation : (i) 2x^3-9x^2+10x=3, (ii) 8x^3-2x^2-7x+3=0

The numberof real values of x that satisfies the equation x^(4)+4x^(3)+12x^(2)+7x-3=0 is

Find the roots of the following qudratic equations by factorisation: (1) 3x^(2)-13x-30=0 (2) x^(2)-(3)/(2)x+(9)/(16)=0 (3) x^(2)-4sqrt(3x)-15=0 (3) sqrt(3x^(2))-7x-6sqrt(3)=0

Find the nature of the roots of 3x^(2)+7x+2=0