Assignment: 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