Question

DAU CORONITA SI MULTE PUNCTE!!!!!!!FOARTE URGENT!!!!
1)Rezolvati in R ecuatia
a)6 x^{2} +0,5x=0
b)3 x^{2} +13x-10=0
c)5x(5x+2)+3=2

2)Scrieti o ecuatie de gradul II cu multimea solutiilor
S={3- \sqrt{2,3+ \sqrt{2} }

Answer 1

a)6x²+0,5x=0⇔6x²+1/2x=0⇔12x²+x=0⇒x(12x+1)=0⇒x=0 si x=-1/12 sunt cele doua solutii
b)3x²+13x-10=0⇔3x²+3x+10x-10=3x(x+1)-10(x+1)=(x+1)(3x-10)⇒
x=1 si x=10/3 sunt solutii
c)5x(5x+2)+3=2⇔25x²+10x+1=0⇔(5x+1)²=0⇒x=-1/5 este solutie