Question

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

Answer 1

Won't factor, use quadratic formula

Answer 2

not to butt in but you can find the sum of the roots and the produce of the roots without finding the roots

Answer 3

Alright then, the floor is yours lol

Answer 4

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
\[r_1r_2=\frac{c}{a}\]

Answer 5

*product

Answer 6

The answer is 289/49. Could you please show me the steps?

Answer 7

product of the roots, according to satellite's formula is -13/7

Answer 8

sum is -4/7

Answer 9

\[(-\frac{13}{7}-\frac{4}{7})^2=(-\frac{17}{7})^2=\frac{289}{49}\]

Answer 10

Thank you so much

Answer 11

could you explain how did you get the A .