Answer:
<em>8(x2 + 2x) = –3
</em>
<em>8(x2 + 2x + 1) = –3 + 8
</em>
<em>x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot</em>
Step-by-step explanation:
<u>Solving Quadratic Equations
</u>
Sometimes it's preferred to solve quadratic equations without the use of the known quadratic formula solver. One of the most-used methods consists of completing squares and solving for x.
We have the equation

We separate variables from constants

Taking the common factor 8

Completing squares in the brackets and balancing the equation in the right side

Factoring the perfect square

Isolating x



We can clearly see the steps used to solve the quadratic equation are (in order and written like in the question)
8(x2 + 2x) = –3
8(x2 + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
Answer:
Step-by-step explanation:
9x - 77 = 7x - 43
2x - 77 = -43
2x = 34
x = 17
9(17) - 77 = 153 - 77 = 76
7(17) - 43 = 119 - 43 = 76
z + 76 = 180
z= 104
B. miles because its a longer distance with leads to a smaller number
3ab...when a = 2 and b = 3
(3)(2)(3) = 6(3) = 18