Exercises - Nature of the Roots of Quadratic Equation

Which is true for the equation  $x^2-5x+12=0?$  

• There are two real roots

• There is one one repeated root

• There are no real roots

• There are two rational roots

What is the value of  $b^2-4ac\$  for equation  $p^2=3p+2?$  

• 1

• 17

• 6

• 14

Tags

CCSS.HSA.REI.B.4

In the quadratic formula, the expression  $b^2-4ac$  is called

• Dicriminant

• Numerator

• Divisor

• Denominator

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What is the number and types of solutions of the quadratic equation  $x^2-7x+12=0?$  

• One real solution

• Two real solutions

• Two complex but not real solutions

• All of the above

If a,b and c are real and  $b^2-4ac<0$  , then the roots of the equation are

• Real roots

• Real and equal

• Real and unequal

• No real roots

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Which of the following equations has no real roots?

•  $2x^2+4x=3$  

•  $t^2-8t-4=0$  

•  $3s^2-2s=-5$  

•  $-2r^2+r+7=0$  

If the discriminant of a quadratic equation is  $-8$  , how many real roots will the equation have?

• 2

• 1

• -1

• 0

If a quadratic equation has no real roots the value of the discriminant could be

• $-5$

• $5$

• $0$

• $1$

What is the value of the discriminant for the equation  $4x^2-12+9=0?$  

•  $0$  

•  $-12$  

•  $144$  

•  $1$  

Tags

CCSS.HSA.REI.B.4

Which of these equations has two real roots?

• $x^2+x+7=0$

• $x^2-5x=-4$

• $x^2+8x+16=0$

• $x^2-10x+12=0$