Practice Page 1

In the following, determine whether the given quadratic equations have real roots and if so, find the roots:

a.   x2 + 6x – 7 = 0

 

 

 

 

b.   22x2 + 20x + 9 = 0

 

 

 

 

 

 

c.   x2 + 10x + 28 = 0

 

 

 

d.   x2 + 6x + 2 = 0

 

 

 

 

 

 

e.   x2 + 4x + 1 = 0

f.    x2 + 6x + 10 = 0

 

 

 

 

Practice Page 2

Solve the following word problems using quadratic method :

a.   The difference of squares of two numbers is 160. The square of the smaller number is 6 times the larger number. Find the two numbers.

 

 

 

 

 

 

 

b.   Find the value of k for which the given quadratic equation has real and distinct root. Kx2 + 2x + 1 = 0

 

                        

 

 

 

 

 

 

c.   Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares.

 

 

 

 

 

 

 


Last modified: Friday, 23 November 2018, 11:18 PM