Question

Ache a raiz de x²-3x-4=0

Answer 1

Δ = b2 - 4.a.c 
Δ = -32 - 4 . 1 . -4 
Δ = 9 - 4. 1 . -4 
Δ = 25
Há 2 raízes reais.

x = (-b +- √Δ)/2a

x' = (--3 + √25)/2.1   
x'' = (--3 - √25)/2.1

x' = 8 / 2   
x'' = -2 / 2

x' = 4   
x'' = -1

Answer 2

Resposta:

S = {- 1, 4}

Explicação passo-a-passo:

$x^{2} -3x-4=0$

$a=1\\b=(-3)\\c=(-4)$

$\Delta=b^{2} -4ac\\\Delta=(-3)^{2} -4\times1\times(-4)\\\Delta=9+16\\\Delta=25$

$x=\frac{-b\pm\sqrt{\Delta} }{2a} \\\\x=\frac{-(-3)\pm\sqrt{25} }{2\times1} \\\\x=\frac{3\pm5}{2}$

$x_{1} =\frac{3+5}{2} =\frac{8}{2} =4\\\\x_{2} =\frac{3-5}{2} =-\frac{2}{2} =-1$