anonymous
  • anonymous
Please Help c: What are the solutions to the following system of equations? y = x2 + 12x + 30 8x − y = 10 (−4, −2) and (2, 5) (−2, −4) and (2, 5) (−2, −4) and (5, 2) No Real Solutions
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
What is the solution to the following system of equations? y = x2 + 10x + 11 y = x2 + x − 7 (−2, −5) (2, −5) (−2, 5)
campbell_st
  • campbell_st
rewrite the 2nd equation with y as the subject y = 8x - 10 now equate it to the 1st equation and you get \[8x - 10 = x^2 + 12x + 10\] now you have 1 equation in 1 unknown to solve
anonymous
  • anonymous
y = x2 + 12x + 30 8x − y = 10 express y from second equation: \(y=8x-10\) substitute in the 1º equation: \(8x-10=x^2 + 12x + 30\) rearange terms: \(x^2+4x+40=0\) solve this. You will get 2 solutions, which later substitute in the 2º equation to get corresponding y value

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campbell_st
  • campbell_st
oops should be ' \[8x - 10 = x^2 + 12x + 30\] just solve for x
anonymous
  • anonymous
Mm.. ill try. One sec, ill let you know what I get
missMob
  • missMob
:O maths
campbell_st
  • campbell_st
and can you check your equations as they may be a typo in them...
nirmalnema
  • nirmalnema
you can get the ans by by making the quadratic eq..in x
missMob
  • missMob
we will put all the x on one side
anonymous
  • anonymous
The what? LOL
campbell_st
  • campbell_st
because based on the information there are any solutions that are real numbers
campbell_st
  • campbell_st
oops... which is an option
campbell_st
  • campbell_st
sorry...
anonymous
  • anonymous
Ok.. so its D.. cool
missMob
  • missMob
maths is confusing
anonymous
  • anonymous
But idk how to get D
missMob
  • missMob
*takes out the gun shoots maths*
campbell_st
  • campbell_st
well do you know about the discriminant...? thats how you check...
anonymous
  • anonymous
lol...
anonymous
  • anonymous
No.. but I got 8x-10=x2+12x+30 so far..
anonymous
  • anonymous
What do I do from there?
campbell_st
  • campbell_st
subtract 8x from both sides... then add 10 to both sides of the equation...
anonymous
  • anonymous
Oh.. I knew that. For some reason I thought I needed to bring my X from the right to the left.
anonymous
  • anonymous
Ok.. so I got x=x2+4x+40 Is that right?
nirmalnema
  • nirmalnema
ya you got it right
campbell_st
  • campbell_st
and the discriminant is for a quadratic \[ax^2 + bx + c = 0\] thew discriminant is \[b^2 - 4ac\] you have a = 1, b = 4 and c = 40 it will be less than zero... meaning complex roots
anonymous
  • anonymous
Sooo its D.
anonymous
  • anonymous
Thanks everyone! c:

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