# Quadratic Equations and Applications (Four Problems)

Assignment 5: Solutions of Quadratic Equations and their Applications

1.

a) x2 + 6x + 7 = 0

b) z2 + z + 1=0

c) (3) ½ Y2 4y-7 (3) ½ = 0

d) 2x2 - 10x + 25 = 0

e) 2x2 +6x + 5 = 0

f) s2 - 4s + 4 = 0

g) 5/6x2 - 7x - 6/5 = 0

h) 7a2 +8a + 2 = 0

2. Given x = 1 and x = -8, form a quadratic equation.

3. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.

4. Solve the following quadratic equations:

a) 12 x2 +9x=1

b) 14 (m-4)-m+2)=m+2)m-4)

c) t2 +9 =4t

#### Solution Summary

Qudratic equations are solved and discriminants are discussed. The solution is detailed and well presented. The solution was given a rating of "5" by the student who originally posted the question.