Which of the following equations has the sum of its roots as 3? (a) `x^2+3x-5=0` (b) `-x^2+3x+3=0` (c) `sqrt2x^2-3/sqrt2 x-1=0` (d) `3x^2-3x-3=0`

Which of the following equations has the sum of its roots as 3? (a) 2x^2-3x+6=0 (b) x^2+3x-3=0 (c) sqrt(2)x^2-(-3)/sqrt2 x+1=0 (d) 3x^2-3x+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

Find the nature of roots of the following quadratic equations. If the real roots exist, (i) 2x^(2)-3x+5=0 (ii) 3x^(2)-4sqrt3x+4=0 (iii) 2x^(2)-6x+3=0

Which of the following quadratic expression can be expressed as a product of real linear factors? (a) x^(2)-2x+3 (b) 3x^(2)-sqrt2x-sqrt3 (c) 2x^(2)+3x-4 (d) sqrt2x^(2)-sqrt5x+3

Solve the following quadratic equations : (i) 9x^(2) - 8x+2=0 (ii) sqrt7 x^(2) +x+ sqrt7=0 (iii) 2sqrt3x^(2) -sqrt2 x + 3sqrt3 =0

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

Which of the following are quadratic equations? x-(3)/(x)=x^(2) (ii) 2x^(2)-sqrt(3x)+9=0 (iii) x^(2)-2x-sqrt(x)-5=0

Find the roots of the following quadratic equations by factorisation method : (i) 2x^(2)+(5)/(3)x-2=0 (ii) (2)/(5)x^(2)-x-(3)/(5)=0 (iii) 3sqrt2x^(2)-5x-sqrt2=0 (iv) 3x^(2)+5sqrt5x-10=0 (v) 21x^(2)-2x+(1)/(21)=0

Solve the following equations where x in R a) (x-1)|x^(2)-4x+3|+2x^(2)+3x-5=0 b) |x^(2)+4x+3|+2x+=0 c) |x+3|(x+1)+|2x+5|=0