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# Solving Quadratic Equations (Math Problem Sample)

Instructions:

In this discussion, you will solve quadratic equations by two main methods: factoring and using the Quadratic Formula.
solve the following problem by factoring:w2 − 2w = 15
solve problem by using the Quadratic Formula: 3v^2+4+-3=0
For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.
For the Quadratic Formula problem, be sure that you use readable notation while you are working the computational steps. Refer to Inserting Math Symbols for guidance with formatting.
Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
Incorporate the following four math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
Quadratic formula
Factoring
Completing the square
Discriminant
Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) source..

Content:

Solving quadratic equations
Name
Institution
Date of submission
Given
A quadratic equation is always given in the form:
Let the factors that will be used to solve for the value of x be x, y
x× y = a ×c
x+ y = b
This equation becomes:
By factoring:
Factors will be;
x× y = -15, x+ y = 2,
By substituting method; x =2-y,
(2-y)y = -15, this will lead to another quadratic equation, but on normal occasions trial and error method is used for simple equations since they can be evaluated easily,
+5, -3
Then, break the equation, into the above factors,
w (w+5) – 3(w+5) =0
(w+5) (w-3) =0
w=-5, w=3
The above equation is a complete square and hence has perfect square.
Second question...

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