Answer:

Step-by-step explanation:
The given expression is 
Comparing to
, we have 
We add and subtract 

This implies that:

The expression in the rectangle is a perfect square

Therefore 
I now how to do this, but I need a clearer picture. lol
Step-by-step explanation:
Given equations:
y = x² + 3x - 29 ------ (i)
y = 2x - 9 ---------------- (ii)
Now to solve this problem, we must determine the value of x and y;
Equate equations 1 and 2;
x² + 3x - 29 = 2x - 9
x² + 3x - 2x - 29 + 9 = 0
x² + x - 20 = 0
x² + 5x - 4x - 20 = 0
x(x + 5 ) - 4(x + 5) = 0
(x - 4) (x+ 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5;
So; solve for y now;
y = 2x - 9
input x = 4 or x = -5;
y = 2(4) - 9 or y = 2(-5) - 9
y = -1 or y = -19
Answer:
x^2 -2x + 1
Step-by-step explanation:
Think of a quadratic equation as
ax^2 + bx + c
x^2 -2x +
Comparing the two equations
a = 1 , b = -2, c = ?
c becomes the missing part
Divide b by 2
-2/2 = -1
square the result
-1^2
= 1 this is what to add to get a perfect square
x^2 -2x + 1
(x - 1)^2