Type the correct answer in each box. Use numerals instead of words. Consider the quadratic equation x2 + 10x + 27 = 0. Completing the square leads to the equivalent equation (x + )2 = .

Step-by-step explanation:

ax² + bx + c = y

x² + 10x + 27 = 0

to complete the square, we want the "c" term to be equal to the square of half of the "b" term.

In this case b = 10, half of that is 5. the square of 5 is 25.

We already have c = 27, so to get 25 there we just subtract 2 from each side of the equation.

x² + 10x + 27 - 2 = 0 - 2

x² + 10x + 25 = - 2

         (x + 5)² = - 2

taking the square root of each side

            x + 5 = ±√- 2

the square root of a negative number is an imaginary number

            x + 5 = ±√-1√2

            x + 5 = ± i√2

                  x = - 5 ± i√2

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

rauschg

rauschg · hand

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step-by-step explanation: