Question

Determine as raízes das equações utilizando a formula resolutiva x²+5x-6=0

Answer 1

Resposta:

Explicação passo a passo:

 $x^{2} +5x-6=0$

 $a=1\\b=5\\c=-6$

$\Delta=b^{2} -4\:.\:a\:.\:c$

$\Delta=(5)^{2} -4\:.\:(1)\:.\:(-6)$

$\Delta=25+24$

$\Delta=49$

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

$x=\frac{-5\:\pm\:\sqrt{49} }{2}$

$x=\frac{-5\:\pm\:7 }{2}$

$x'=\frac{-5\:+\:7}{\:2}=\frac{2}{2}=1$

$x''=\frac{-5\:-\:7}{\:2}=-\frac{12}{2}=-6$

$S=\{-6;1\}$

Answer 2

A = 1 B = 5 C = -6

Δ = B2 - 4.A.C

Δ = 52 - 4.1.(-6)

Δ = 25 + 24

Δ = 49

X = -B +- √Δ / 2.A

X = -5 +- √49 / 2.1

X = -5 +- 7 / 2

X| = -5 + 7 / 2

X| = 2 / 2

X| = 1

X|| = -5 - 7 / 2

X|| = -12 / 2

X|| = -6

S={-6;1}