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# Quadratic Equations and Applications (Four Problems)

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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

Quadratic equations are solved and discriminants are discussed. The solution is detailed and well presented.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts