anonymous
  • anonymous
Given f (x) = 7x^2 + 4x - 13, A = sum of roots of f (x) = 0, B = product of roots of f (x) = 0, find ( A + B)^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Won't factor, use quadratic formula
anonymous
  • anonymous
not to butt in but you can find the sum of the roots and the produce of the roots without finding the roots
anonymous
  • anonymous
Alright then, the floor is yours lol

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anonymous
  • anonymous
you can also prove those formulas using the quadratic formula, but sum of roots of a quadratic \[ax^2+bx+c=0\] \[r_1+r_2=-\frac{b}{a}\] produce is \[r_1r_2=\frac{c}{a}\]
anonymous
  • anonymous
*product
anonymous
  • anonymous
The answer is 289/49. Could you please show me the steps?
anonymous
  • anonymous
product of the roots, according to satellite's formula is -13/7
anonymous
  • anonymous
sum is -4/7
anonymous
  • anonymous
\[(-\frac{13}{7}-\frac{4}{7})^2=(-\frac{17}{7})^2=\frac{289}{49}\]
anonymous
  • anonymous
Thank you so much
anonymous
  • anonymous
could you explain how did you get the A .

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