We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
Answer:
a=3,b=0,c=5,d=-4/21
Step-by-step explanation:
The formule we use to get the slope is:
m =
a. (3,2);(4,x); m=1
→ x= (1)(4-3)+2 → 3
b. (b,-1);(2,-2); m=-1/2
→ -1= ()(2-b) → → 0
c. (5,d);(9,2); m=-3/4
→ d= ()(9-5)-2 → 5
d. (-1/3,3/4);(h,5/6); m=7/12
→ = () →
We get this equation with the original one:
y=mx+b
There are three forms of linear equations:
point-slope form y2-y1=m(x2-x1)
standard form Ax + By + C = 0 or Ax + By = C
and slope-intercept form y=mx+b