Question

If α,β are the roots of \(x ^{2}-x+4=0\) , then \((3^{\alpha-1})(3^{\beta-1})=??\)

Answer 1

@Hero @ikram002p @goformit100 would you kindly help me this question please?

Answer 2

i guess it is
\[\huge 3^{\alpha+\beta-2}\]

Answer 3

the sum of the roots of a quadratic is \(-\frac{b}{a}\)

Answer 4

sum of roots=1
product of roots=4
3^-1 = 1/3 ????

Answer 5

which in your case is
\[-\frac{b}{a}=-\frac{-1}{1}=1\]

Answer 6

\[\huge 3^{\alpha+\beta-2}=3^{1-2}=\frac{1}{3}\] yes, what you got

Answer 7

oh thank you so much. And I have another similar questions.