Question

resolvas as equaçoes do 2 grau. Me ajudem por favor

a)t''+2t+1=1
c)9x''+12x+4=9
d)25t''+10t+1=16
e)x''+20x+100=81
f)25X''+100X+100=36
g)9x''-42+9=49
h)25x''+70x+49=49
j)1/4x''-6x+36=121

Answer 1

t²+2t+1=1
t²+2t=0
∆=b²-4ac
∆= 2²-4.1.0
∆= √4
∆= 2

X= -b±√∆\2.a
x'= -2+2/2
x'0

x"=-2-2/2
x"=-2
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9x²+12x+4=9
9x²+12-5=0
∆=b²-4ac
∆= 12²-4.9.(-5)
∆=144+180
∆=√324
∆=18

X= -b±√∆\2.a
x'= -12+18/18
x'=1/6

x"= -12-18/18
x"= -30/18
x"= - 5/6
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25t²+10t+1=16
25t²+10t-15=0
5t²+2t-3=0
∆=b²-4ac
∆= 2²-4.5.(-3)
∆= √64
∆=8
X= -b±√∆\2.a

x'= -2+8/15
x'= 3/5

x"= -2-8/15
x"= -10/15
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e)x²+20x+100=81
x²+20x+19=0
∆=b²-4ac
∆= 20²-4.1.19
∆= 400-76
∆=√324
∆=18
X= -b±√∆\2.a
x'= -20+18/2
x'= -1
x"= -20-18/2
x"= -19
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9x²-42+9=49 ta faltando alguma coisa!

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25x²+70x+49=49
25x²+ 70x =0

∆=b²-4ac
∆=70²
∆=√4900
∆=70
X= -b±√∆\2.a
x'= -70+70/50
x'=0

x"=-70-70/50
x"=-14/5