Week 8 Revision

 If L and M are the two roots of the equation :  $x^2\ -3x\ +1=0$  then the equation  whose roots are : L + M and LM  is ..............

•  $x^2+4x\ +3\ =\ 0$  

•  $x^2\ -3x+4\ =\ 0$  

•  $x^2-4x+3\ =\ 0$  

•  $x^3-4x^2+3x$  

If  $l\ ,\ l^2$  are two roots of equation  $2\ x^2\ +\ b\ x\ +54\ =\ 0$  then b = .........

• 36

• -24

• 27

• -12

If L and M are the two roots of the equation   $𝑥^2-8x+5=0$    then form the quadratic equation whose roots are   $\frac{1}{l},\ \frac{1}{m}$  is ..........

•  $𝒙^2−8x+1=0$  

•  $5𝒙^2−8x+1=0$  

•  $5𝒙^2−1x+8=0$  

•  $5𝒙^2+8x+1=0$  

 If L and M are the two roots of the equation     $𝑥^2-3x-1=0$  then the quadratic equation whose roots are   $l^2\ ,\ m^2$  is ............

•  $x^2\ +\ 11\ x\ -\ 1\ \ =\ 0$  

•  $x^2\ -x\ +\ 11\ =\ 0$  

•  $x^2\ +1\ -11x\ =\ 0$  

•  $x^2\ +\ 11\ x\ -1\ =\ 0\$  

-2x² - 5x + 1 = 0
What are the sum and product of roots?

• Sum = 5/2
  Product = 1/2
• Sum = - 5/2
  Product = - 1/2
• Sum = - 5/2
  Product = 1/2
• Sum = 5/2
  Product = - 1/2

ax² - 3x - c = 0
Given the sum and product of roots are 6 and -9 respectively. What are the values of a and c?

• a = 1/2
  c = 9/2
• a = - 1/2
  c = - 9/2
• a = - 1/2
  c = 9/2
• a = 1/2
  c = - 9/2

Write a quadratic equation in standard form with the given roots: -2, -5

• x² - 3x - 10

• x² + 7x + 10

• x² - 7x + 10

• x² + 2x - 10

Tags

CCSS.HSA.REI.B.4

Given one of the root of quadratic equation  $x^2-5kx+k=0$ is   four times the other root, find the value of k

•  $k=\frac{1}{4}$  

•  $k=-\frac{1}{4}$  

•  $k=-4$  

•  $k=4$  

The equation
y = x² -12x + 36 has

• 1 solution
• 2 solutions
• no solutions

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

If the discriminant is equal to -7 the roots will be...

• Real, rational & equal

• Real, rational & different

• Real, irrational & different

• Non-real & different