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Solve Quadratic Equation

by Natasha
(MD)











































Second Degree Polynomial

Solve the following quadratic equation for x.

15 = 100x - 5x²

Use the quadratic formula, complete the square, solving by factoring, or use the Indian method.

Comments for Solve Quadratic Equation

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Sep 09, 2013
quadratic equation
by: Staff


Answer

Part I


Solve the following quadratic equation for x.

15 = 100x - 5x²


This problem can be solved easily using the quadratic formula

The first step is to rewrite the equation in the standard format


Standard Format of quadratic equation:
 Quadratic Equation:  standard format.





- 5x² + 100x = 15

subtract 15 from each side of the equation

- 5x² + 100x - 15= 15 - 15

- 5x² + 100x - 15= 0

divide each side of the equation by 5


(- 5x² + 100x - 15) / 5 = 0 / 5


- 5x² / 5 + 100x / 5 - 15 / 5 = 0 / 5

- x² + 20x - 3 = 0



Quadratic Equation to be solved: 

       - x²  + 20x  - 3 = 0






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Sep 09, 2013
quadratic equation
by: Staff


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Part II


Quadratic formula:


Quadratic formula:  solve for x





- x² + 20x - 3 = 0

x = unknown

a = -1

b = 20

c = -3

Substitute the values of the coefficients a, b, and c into the quadratic formula



Substitute the values of the coefficients a, b, and c into the quadratic formula







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Sep 09, 2013
quadratic equation
by: Staff

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Part III



Quadratic Formula:  compute the values of x





Complete the arithmetic to find the value of "x"



the final answer is:


 Complete the arithmetic to find the two values  of x







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Sep 09, 2013
quadratic equation
by: Staff


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Part IV


A graph of the quadratic function is shown below




Graphical Solution to Quadratic Equation: -x² + 20x - 3 = 0








Thanks for writing.

Staff
www.solving-math-problems.com


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