Question

equação do segundo grau

a) X2-12X-14=0

b) X2-8X-24=0

c) X2-16X-25=0

d) X2-18X-22=0

e) X2-9X-32=0

TEM QUE FAZER A CONTA ME AJUDEMMMMM

Answer 1

$a) \: Δ = { - 12}^{2} - 4.1.( - 14) \\ Δ = 144 + 56 = \\ Δ = 200$

$\frac{12 + 14.1421}{2} = \frac{21.1421}{2} = 13.0711$

$\frac{12 - 14.1421}{2} = \frac{ - 2.1421}{2} = - 1.0711$

S = {13,0711; -1,0711}

$b) \: Δ = { -8 }^{2} - 4.1.( - 24) \\ Δ = 64 + 96 \\ Δ = 160$

$\frac{8 + 12.6491}{2} = \frac{20.6491}{2} = 10.3246$

$\frac{8 - 12.6491}{2} = \frac{ - 4.6491}{2} = - 2.3246$

S = {10,3246; -2,3246}

$c) \: Δ = { - 16}^{2} - 4.1.( - 25) \\ Δ = 256 + 100 \\ Δ = 356$

$\frac{16 +18.868 }{2} = \frac{34.868}{2} = 17.434$

$\frac{16 - 18.868}{2} = \frac{ - 2.868}{2} = - 1.434$

S = {17,434; -1,434}

$d) \: Δ = { - 18}^{2} - 4.1.( - 22) \\ Δ = 324 + 88 \\ Δ = 412$

$\frac{18 + 20.2978}{2} = \frac{38.2978}{2} = 19.1489$

$\frac{18 - 20.2978}{2} = \frac{ - 2.2978}{2} = - 1.1489$

S = {19,1489; -1,1489}

$e) \: Δ = { - 9}^{2} - 4.1.( - 32) \\ Δ = 81 + 128 \\ Δ = 209$

$\frac{9 + 14.4568}{2} = \frac{23.4568}{2} = 11.7284$

$\frac{9 - 14.4568}{2} = \frac{ - 5.4568}{2} = - 2.7284$

S = {11,7284; -2,7284}