Question

1. Calcule as raízes reais de cada uma das equações abaixo, usando a fórmula de Baskara:
A) x²- 6x+9=0
B)x²-4x+3=0
C)x²-8x+16=0
D)x²-9x+20=0
E)x²-9x+20=0
F)x²-5x+4=0
G)x²-3x+2=0
H)x2-3x+2=0


Obs: PRECISO DE AJUDA AGORA! ✅❕
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Answer 1

Resposta:

A) S = {3}

B) S = {1,3}

C) S = {4}

D) S = {4,5}

E) S = {1,4}

F)S = {1,2}

A) x²- 6x+9=0

coeficientes $\begin{cases} a=1\\b=-6\\c=9 \end{cases}$

Delta

$\Delta=-b^{2} -4ac$

$\Delta=(-6)^{2} -4.1.9$

$\Delta=36-4.1.9$

$\Delta=36-36$

$\Delta=0$

Bhaskara

$\frac{ x=-b\pm \sqrt{\Delta} } {2a}$

$x1=\frac{6+0}{2} =6/2=3$

$x2=\frac{6-0}{2} =6/2=3$

S = {3}

B) x²-4x+3=0

coeficientes  $\begin{cases} a=1\\b=-4\\c=3 \end{cases}$

Delta

$\Delta=-b^{2} -4ac$

$\Delta= (-4)^{2} -4.1.3$

$\Delta=16-4.1.3$

$\Delta=16-12$

$\Delta=4$

Bhaskara

$\frac{x=-b\pm\sqrt{\Delta} }{2a}$

$x1 = \frac{4+2}{2} =6/2=3$

$x2=\frac{4-2}{2} =2/2=1$

S = {1,3}

C) x²-8x+16=0

Coeficientes$\begin{cases} a=1\\b=-8\\c=16 \end{cases}$

$\Delta=-b^{2} -4ac$

$\Delta=(-8)^{2} -4,1.16$

$\Delta=64-4.1.16$

$\Delta=64-64$

$\Delta=0$

Bhaskara

$\frac{x=-b\pm\sqrt{\Delta} }{2a}$

$x1= \frac{8+0}{2} =8/2=4$

$x2=\frac{8-0}{2} =8/2=4$

S = {4}

D) x²-9x+20=0

coeficientes $\begin{cases} a=1\\b=-9\\c=20 \end{cases}$

Delta

$\Delta=-b^{2} -4ac$

$\Delta=(-9)^{2} -4.1.20$

$\Delta=81-4.1.20$

$\Delta=81-80$

$\Delta=1$

bhaskara

$\frac{x=-b\pm\sqrt{\Delta} }{2a}$

$x1=\frac{9+1}{2} =10/2=5$

$x2=\frac{9-1}{2} =8/2=4$

S = {4,5}

E) x²-5x+4=0

coeficentes$\begin{cases} a=1\\b=-5\\c=4 \end{cases}$

Delta

$\Delta=-b^{2} -4ac$

$\Delta=(-5)^{2} -4.1.4$

$\Delta=25-4.1.4$

$\Delta=25-16$

$\Delta=9$

Bhakara

$\frac{x=-b\pm\sqrt{\Delta} }{2a}$

$x1=\frac{5+3}{2} =8/2=4$

$x2=\frac{5-3}{2} =2/2=1$

S = {1,4}

F) x²-3x+2=0

coeficientes$\begin{cases} a=1\\b=-3\\c=2 \end{cases}$

Delta

$\Delta=-b^{2} -4ac$

$\Delta(-3)^{2} -4.1.2$

$\Delta=9-4.1.2$

$\Delta=9-8$

$\Delta=1$

bhaskara

$\frac{x=-b\pm\sqrt{\Delta} }{2a}$

$x1=\frac{3+1}{2} =4/2=2$

$x2=\frac{3-1}{2} =2/2=1$

S = {1,2}

Vc repetiu algumas perguntas!!