X^2- 20x = -2x – 80In (x+a)^2=b form please hurry

Completing Squares

It's given the following equation:

We are required to express the equation in the form:

The first step is sending all the variables to the left side of the equation.

Adding 2x:

To complete squares, we need to recall the following identity:

The expression on the left side is missing the third term to be a perfect square. Note that comparing

p=x

2pq = -18x

This means that

q = -18x/2p

q = -18x/2x

q = -9

Now we know the value of the second term, we need to add q^2=81:

The left side of the equation is the square of x-9, and the right side can be calculated:

Now we have the required expression, where a=-9 and b = 1

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(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

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step-by-step explanation:

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