Posted: March 19th, 2021
share thoughts abouth their solutions esssay
I need support with this Applied Mathematics question so I can learn better.
1.
Hi Class,
For my two chosen solutions to a quadratic equation, I am going to work with x = – 6 and x = – 10
Working backwards:
Step 1 : After choosing two solutions, set up your solutions just like this.
y
= ( x + 6 ) ( x + 10 )
Step 2: I multiply the solutions out using the FOIL method.
y = x2 + 10x + 6x + 60
y = x2 + 16x + 60
Step 3: Put into vertex form by completing the square.
y = a( x – h )2 + k (This is the vortex Form)
We need to find what is Half of 16
Half of 16 = 8
So, 16 + 8 = 24
We have:
y = x2 + 16x + 24 + 60 – 24 ( we bring 24 to both sides)
y = x2 + 16x + 36
y = (x + 8) (x + 8) + 36
y = (x + 8)2 + 36
h = – 8, k = 36
I hope this makes sense on how I worked out the problem backwards. If I missed a step please let me know so I can understand what happened and if it makes sense then that is great.
2.
Hello Class,
My two chosen solutions are x=8
undefinedx=−5
So working backwards:
y=(x−8)(x+5)
using the FOIL method:
y=x2−8x+5x−40
y=x2−3x−40
y=x2−3x+94−40−94
y=(x−32)(x−32)−1604−94
y=(x−32)2−1694
The simplified form would be:
y=(x−112)2−4214
using the vertex form above the vertex is:
(112,−4214)
This is a fun lesson and got to relearn information I had long forgotten.
Requirements: euiiguqgey