What is the intermediate step in the form (x + a)2 = b as a result of completing the square for the following equation?
x^2 – 3x = 7x - 30

( x - 5 )² = 75

Step-by-step explanation:

We need to convert the given equation in

So for that , let's complete the square of the given quadratic equation .

=> x² - 3x = 7x - 30

=> x² -3x - 7x + 30 = 0

=> x² - 10x + 30 = 0

=> x² - 2(5)x + 30 = 0

=> x² - 2(5)x +5² -30 = 5²

=> x² - 2(5)x + 5² = 25 +30

=> ( x - 5 )² = 75

Hence wrt the given form , the value of a is (-5) and b is 75 .

u what ?

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.