" (iii) "4x^(2)+7x+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 .

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

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

Solve the following quadratic equations equation by using formula. (xiv) 4x^2+7x+2=0

Solve the following quadratic equations equation by using formula. (xiv) 4x^2+7x+2=0

Which of the following are quadratic equations? x^(2)-6x+4=0( ii) 2x^(2)-7x=0

Which of the following are quadratic equations? (i) x^(2)8x+12=0 (ii) x+(1)/(x)=5 (iii) x+(5)/(x)=x^(2) (iv) x^(2)-5sqrtx+7=0 (v) x^(2)-5x-sqrtx+4=0 (vi) x^(2)-(1)/(x^(2))=4 (vii) 5x^(2)-7x=3x^(2)-7x+3 (viii) (1)/(4)x^(2)+(7)/(6)x-2=0

Which of the following are quadratic equations? (i) x^(2)8x+12=0 (ii) x+(1)/(x)=5 (iii) x+(5)/(x)=x^(2) (iv) x^(2)-5sqrtx+7=0 (v) x^(2)-5x-sqrtx+4=0 (vi) x^(2)-(1)/(x^(2))=4 (vii) 5x^(2)-7x=3x^(2)-7x+3 (viii) (1)/(4)x^(2)+(7)/(6)x-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