NATURE OF THE ROOTS and SUM AND PRODUCT OF THE ROOTS

In a quadratic equation, what do you call the value b² −4ac?

• quadratic equation

• divisor

• discriminant

• nature of the roots

Tags

CCSS.HSA-REI.B.4B

What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?

• The roots are not real.

• The roots are irrational and not equal.

• The roots are real and not equal.

• The roots are real and equal.

Tags

CCSS.HSA-REI.B.4B

Which is true for the equation x²- 5x+12=0?

• The roots are not real or imaginary.

• The roots are rational and equal.

• The roots are rational and not equal.

• The roots are irrational and not equal

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Determine the nature of the roots of x² -13x -5 = 0.

• real and unequal, rational

• real and unequal, irrational

• real and equal

• no real roots/imaginary roots

Tags

CCSS.HSA-REI.B.4B

What are the nature of roots of the equation 5x² -10x +6 = 0?

• real and equal

• real and unequal, rational

• real and unequal, irrational

• no real roots/imaginary roots

Tags

CCSS.HSA-REI.B.4B

Without solving the equation 24x² +12x = 0 what is the sum of the roots?

• 2

• -2

• 1/2

• -1/2

Tags

CCSS.HSA-REI.B.4B

Without solving the equation 3x² -8x + 12 = 0 give the product of the roots.

• 8/3

• 3/12

• 1/4

• 4

Tags

CCSS.HSA.APR.B.2

Write the quadratic equations whose roots have the given sum and product, sum = - 8, product = 5.

• x² +8x +5 =0

• x² −8x −5 =0

• x² −8x +5 =0

• x² +5x −8 =0

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write the quadratic equation whose roots are

 $\sqrt{7}and\ -\sqrt{7}$  .

•  $x^2+49=0$  

•  $x^2-49=0$  

•  $x^2-7=0$  

•  $x^2+7=0$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write the quadratic equation whose roots are

 $-2\sqrt{5}\ and\ 2\sqrt{5}$  .

•  $x^2-\sqrt{5}x-4=0$  

•  $x^2+\sqrt{5}x+4=0$  

•  $x^2-4=0$  

•  $x^2-20=0$  

Tags

CCSS.HSA.APR.B.3