Question

favor me ajude é para amanhã
x(x + 5) = (x + 1)¹ + 26

Answer 1

$x(x+5)=( x+1)^{1} +26 \\ \\ \\ x^{2} +5x=x+1+26 \\ \\ x^{2} +5x-x-1-26=0 \\ \\ x^{2} +4x-27=0 \\ \\ a=1;b=4;c=-27 \\ \\ \Delta= b^{2} -4ac \\ \Delta= 4^{2} -4*1*(-27) \\ \Delta=16+108 \\ \Delta=124$



$x= \frac{-b+- \sqrt{\Delta} }{2a} \\ \\ x= \frac{-4+- \sqrt{124} }{2*1} \\ \\ x= \frac{-4+-11,13}{2} \\ \\ \\ x'= \frac{-4+11,13}{2} \\ \\ x'= \frac{7,13}{2} \\ \\ \\ x''= \frac{-4-11,13}{2} \\ \\ x''= \frac{-15,13}{2} \\ \\ \\ \\ S=( \frac{7,13}{2} , \frac{-15,13}{2} )$