DISCRIMINANTS AND NATURE OF THE ROOTS

What is the formula for the product of the roots?

• $\frac{-b}{2a}$

• $\frac{-b}{a}$

• $\frac{c}{a}$

• $\frac{-c}{2a}$

What is the nature of roots of the quadratic equation if d=23?

• $2=rational\ roots$

• $2\ irrational\ \&\ \ne roots$

• $2\ rational\ but\ \ne\ roots$

• $2\ imaginary\ roots$

What is the nature of the roots of the quadratic equation if d=121

• $2=rational\ roots$

• $2\ irrational\ \&\ne roots$

• $2\ rational\ but\ne roots$

• $2\ imaginary\ roots$

 $Find\ the\ sum\ and\ product\ of$   $the\ roots\ if\ the\ equation\ is$   $3x^2-12x-9=0$  

• 4 and 3

• - 4 and 3

• 4 and -3

• -4 and -3

 $What\ is\ the\ discri\min ant\ of$   $\ the\ quadratic\ equation\$   $3x^2-5x+4=0$  

• -73

• -23

• 23

• 73

 $What\ is\ the\ sum\ of\ the\ roots\ of$   $the\ quadratic\ equation$   $2x^2+6x-20=0?$  

• -6

• -5

• -4

• -3

Which of the given quadratic equation has the sum of, -12 and the product, -7?

• $x^2+12x+7=0$

• $x^2+12x-7=0$

• $x^2-12x+7=0$

• $x^2-12x-7=0$

If the sum and the product of the roots of a quadratic equation are -6 and 8 respectively, then the roots are:_____

• 4 and 2

• 4 and -2

• -4 and 2

• -4 and -2

 $What\ is\ the\ equivalent\ of\ \frac{1}{x}+\frac{x}{2}=3$   $in\ s\tan dard\ form\ ax^2+bx+c=0$  

•  $x^2+6x+3=0$  

•  $x^2+6x-2=0$  

•  $x^2-6x+3=0$  

•  $x^2-6x+2=0$  

 $What\ is\ the\ sum\ of\ the\ roots\ of$   $2x^2+8x-10=0$  

• -5

• -4

• 4

• 5