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

Which of the following equations has 2 as a root? (a) x^(2)-4x+5=0 , (b) x^(2)+3x-12=0 (c) 2x^(2)-7x+6=0 , (d) 3x^(2)-6x-2=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 .

Find the +roots of the quadratic equations by applying the quadratic formula. 2x^(2) - 7x+ 3 =0

Find the roots of the following quadratic equations, if they exist, by the method of completing the square : 2x^(2)-7x+3=0

Find the roots of the following quadratic equations , if they exists , by the method of completing the square. 2x^(2)- 7x+ 3=0

Determine whether the value given against each of the qaudratic equation are the roots of the equation. (ii) 2x^2-7x+6=0 , x=3/2,-2 .

Find the discriminant of each of the following equations: (i) 2x^(2)-7x+6=0" "(ii)" "3x^(2)-2x+8=0 (iii) 2x^(2)-5sqrt(2)x+4=0" "(iv)" "sqrt(3)x^(2)+2sqrt(2)x-2sqrt(3)=0 (v) (x-1)(2x-1)=0" "(vi)" "1-x=2x^(2)

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

Solve the following quadratic equations by factorisation method : (i) x^(3) - 4x + 3 = 0 (ii) m^(2) - m - 2 = 0 (iii) p^(2) + 9p + 20 =0 (iv) q^(2) + q-12= 0 (v) y^(2) + 2y - 35= 0 (vi) 3x^(2) + 5x= 0 (vii) x^(2) - 7x + 12=0 (viii) x^(2) - 7x - 18 = 0