How do I find two variables in algebra with a given equation?

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Homework Help Overview

The discussion revolves around solving a system of equations involving two variables, specifically focusing on the equations p = -x² - 2x + 100 and p = 8x + 25. Participants are attempting to find the values of p and x.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss setting the two equations equal to each other and rearranging terms to form a quadratic equation. There is a focus on how to isolate x and the methods available for solving quadratic equations, such as factoring, completing the square, or using the quadratic formula.

Discussion Status

Some participants have provided guidance on recognizing the quadratic nature of the equation and suggested various methods for solving it. There is acknowledgment of a miscalculation in the original attempt, which has led to further clarification and exploration of the problem.

Contextual Notes

There is a mention of a homework constraint, as participants are working within the context of a homework assignment. The original poster expresses frustration over a miswritten number in their calculations, which has contributed to confusion in their attempts.

GiTS
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Homework Statement


p=-x^2-2x+100 and p=8x+25, find p and x.


Homework Equations





The Attempt at a Solution


-x^2-2x+100=8x+125
-8x -8x
-100 -100
-x^2-10x=-75
x^2+10x=75
/10 /10
1/10x^2+x=75/10 i don't get how to get x alone on one side from here.
 
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Try (Ax^2) + Bx + C =0

then you know a formula to get x..
 
GiTS said:

Homework Statement


p=-x^2-2x+100 and p=8x+25, find p and x.


Homework Equations





The Attempt at a Solution


-x^2-2x+100=8x+125
-8x -8x
-100 -100
-x^2-10x=-75
x^2+10x=75
/10 /10
1/10x^2+x=75/10 i don't get how to get x alone on one side from here.

Oh, c'mon! That's a quadratic equation. Factor if you can, or complete the square or use the quadratic formula. Oh, by the way, 125- 100= 25, not 75.
 
HallsofIvy said:
Oh, c'mon! That's a quadratic equation. Factor if you can, or complete the square or use the quadratic formula. Oh, by the way, 125- 100= 25, not 75.

God I feel stupid. You'd think i'd recognize quadratic equations by now :P. I miswrote 125, supposed to be just 25. Thanks guys!
 
No Preblem!


Problem solved :P
 

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