the Discriminant

Which of the following formulas represent the discriminant of a quadratic equation?

• $ax^2+bx+c$

• $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $b^2-4ac$

• $\frac{-b}{2a}$

Tags

CCSS.HSA-REI.B.4B

How many solutions does a quadratic have if the discriminant is a positive perfect square?

• 1 Real Solution

• 2 Real Rational Solutions

• 2 Real Irrational Solutions

• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

How many solutions does a quadratic equation have if the discriminant is a negative number?

• 1 Real Solution

• 2 Real Rational Solutions

• 2 Real Irrational Solutions

• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

How many solutions does a quadratic equation have if the discriminant is a zero?

• 1 Real Solution

• 2 Real Rational Solutions

• 2 Real Irrational Solutions

• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

Determine how many and what type of solutions the following equation has.

 $-x^2-6x+7=0$  

• 1 Real Solution

• 2 Real Rational Solutions

• 2 Real Irrational Solutions

• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

Determine how many and what type of solutions the following equation has.

 $-2x^2-4x-2=0$  

• 1 Real Solution

• 2 Real Rational Solutions

• 2 Irrational Solutions

• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

Determine how many and what type of solutions the following equation has.

 $3p^2-p+4=0$  

• 1 Real Solution

• 2 Real Rational Solutions

• 2 Real Irrational Solutions

• No Real Solution

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Determine how many and what type of solutions the following equation has:

 $-2n^2+4n+2=0$  

• 1 Real Solution

• 2 Real Rational Solutions

• 2 Real Irrational Solutions

• No Real Solution

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Find the value of the discriminant in the following equation:

 $a^2-10a-1=0$  

(a)  

Tags

CCSS.HSA-REI.B.4B

Find the value of the discriminant in the following equation:

 $5x^2+4x-1=0$  

(a)  

Tags

CCSS.HSA-REI.B.4B