Question

1º determine o conjunto solução de cada equação :

a)4x² +8x=6x

b)10x²-15x=0

c)x²-25=0

e)y²-81=0

por favor me ajudem a para amanha!!!!!!!!!!!!!!!

Answer 1

$a)~~4 x^{2} +8x=6x\\ 4 x^{2} +8x-6x=0\\ 4 x^{2} +2x=0\\ x(4x+2)=0\\\\ x'=0~~~~~~~~~4x+2=0\\ ~~~~~~~~~~~~~~~~~~4x=-2\\ ~~~~~~~~~~~~~~~~~~x=-2/4\\ ~~~~~~~~~~~~~~~~~~x''=-1/2\\\\\\ \boxed{S=\{- \frac{1}{2},0\}}$
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$b)~~10 x^{2} -15x\\ x(10x-15)=0\\\\ x'=0~~~~~~~~~~~~~~~10x-15=0\\ ~~~~~~~~~~~~~~~~~~~~~~~~10x=15\\ ~~~~~~~~~~~~~~~~~~~~~~~~~x=15/10\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~x=3/2\\\\ \boxed{S=\{0, \frac{3}{2}\}}$
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$c)~~x^{2} -25=0\\ x^{2} =25\\ x= \pm\sqrt{25}\\ x=\pm5\\\\ \boxed{S=\{-5,5\}}$
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$d)~~y ^{2}-81=0\\ y ^{2}=81\\ y= \pm\sqrt{81}\\ y=\pm9\\\\ \boxed{S=\{-9,9\}}$


Espero ter ajudado e tenha ótimos estudos XD