Question

x(1-x)=1/4
a) 0
b) 1/2
c) 1
d) 1/4​

Answer 1

Resposta:

$x.(1-x)=\frac{1}{4} \\ \\ x-x^{2} =\frac{1}{4} \\ \\ 4.(x-x^{2})=1\\ \\ 4x-4x^{2} =1\\ \\ -4x^{2} +4x-1=0\\ \\ delta=b^{2}-4.a.c\\  \\ delta=4^{2} -4.(-4).(-1)\\ \\ delta=16-16\\ \\ delta=0\\ \\ Quando~delta=0~~~~formula~reduzida~de~Bhaskara\\ \\ x=\frac{-b}{2a} \\ \\ x=\frac{-4}{2.(-4)} =\frac{-4}{-8} =+\frac{1}{2} \\ \\ resposta:~~alternativa~b)~\frac{1}{2}$