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.

 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: - 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 ------------------------------------------------------

 Sep 09, 2013 quadratic equation by: Staff ------------------------------------------------------ Part II Quadratic formula: - 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 ------------------------------------------------------

 Sep 09, 2013 quadratic equation by: Staff ------------------------------------------------------ Part III Complete the arithmetic to find the value of "x" the final answer is: ------------------------------------------------------

 Sep 09, 2013 quadratic equation by: Staff ------------------------------------------------------ Part IV A graph of the quadratic function is shown below Thanks for writing. Staff www.solving-math-problems.com