anonymous
  • anonymous
Solve the following system of equations y = −x2 + 4 y = 2x + 1 Can someone help me with this one? I got no answer but I think it's wrong
Mathematics
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anonymous
  • anonymous
Solve the following system of equations y = −x2 + 4 y = 2x + 1 Can someone help me with this one? I got no answer but I think it's wrong
Mathematics
schrodinger
  • schrodinger
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Vocaloid
  • Vocaloid
-x^2 + 4 = 2x + 1 -x^2 - 2x + 3 = 0 factor
anonymous
  • anonymous
would it be x = 1 or x = -3 ?
Abhisar
  • Abhisar
Do you mean there are two equations \(\sf y = −x2 + 4~and~y = 2x + 1\) ?

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anonymous
  • anonymous
yeah
Abhisar
  • Abhisar
You can subtract second equation from first one to get a quadratic equation in terms of x only and then solve it to find the value of x. Finally substitute this value of x in any of the parent equation to find the value of y
anonymous
  • anonymous
So -x^2 +4 = 2x + 1 and I still get x=1 or -3
Abhisar
  • Abhisar
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Abhisar
  • Abhisar
So that gives you a quadratic equation \(\sf x=\Large \frac{2 \pm \sqrt{2^2-(4 \times-1 \times 3)}}{2}\)
Abhisar
  • Abhisar
Solve for c:

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