Completing the Square, Discriminant, and Quadratic Formula

Name the type and number of solutions for:
 $2x^2-3x+6=0$  

• 2 Real Solutions

• 1 Real Solution

• 2 Imaginary Solutions

• 1 Real and 1 Imaginary Solution

Name the type and number of solutions for:
 $16x^2-8x+1=0$  

• 2 Real Solutions

• 1 Real Solution

• 2 Imaginary Solutions

• 1 Real and 1 Imaginary Solution

Name the type and number of solutions for:
 $7x^2+36x+5=0$  

• 2 Real Solutions

• 1 Real Solution

• 2 Imaginary Solutions

• 1 Real and 1 Imaginary Solution

Which is the correct set-up of the discriminant for:
 $3x^2-19x=-20$  

•  $\left(-19\right)^2-4\left(3\right)\left(20\right)$  

•  $\left(-19\right)^2-4\left(3\right)\left(-20\right)$  

•  $\left(-20\right)^2-4\left(3\right)\left(-19\right)$  

•  $-\left(-19\right)^2-4\left(3\right)\left(-20\right)$  

Tags

CCSS.HSA.REI.B.4

What is the correct set-up of the discriminant for:
 $x^2+4x-12=0$  

• (4)²- 4(1)(-12)

• (-4)²- 4(1)(-12)

• (1)²-4(4)(-12)

• (-12)²- 4(4)(1)

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the first step to solving THIS equation by completing the square? 
 $a^2+10a+21=0$  

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Solve by completing the square: $k^2-12k+23=0$  

• k = 6 ± √13

• k = -6 ± √13

• k = 6 ± √59

• k = -6 ± √59

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac