Question

(x + 3)² + x + 4 = 3
AYUDA PORFA

Answer 1

Hola

(x + 3)² + x + 4 = 3

Distribuir y combinar

[tex]x(x + 3) + 3(x + 3) + x + 4 = 3 \\ x {}^{2} + 3x + 3(x + 3) + x + 4 = 3 \\ x {}^{2} + 3x + 9x + x + 4 = 3 \\ x {}^{2} + 6x + 9 + x + 4 = 3 \\ [/tex]

Sumar

[tex]x {}^{2} + 6x + 9 + x + 4 = 3 \\ \boxed{x {}^{2} + 6x + 13 + x = 3}[/tex]

Combinar

[tex]x {}^{2} + 6x + 13 + x = 3 \\ \boxed{x {}^{2} + 7x + 10 = 3} \\ \boxed{x {}^{2} + 7x + 13 - 3 = 0}[/tex]

Restar

[tex]x {}^{2} + 7x + 13 - 3 = 0 \\ \boxed{x {}^{2} + 7x + 10 = 0}[/tex]

Usamos la fórmula cuadrática

[tex]x = \frac{ - b ± \sqrt{b { }^{2} } - 4ac }{2a} [/tex]

x^2+7x+10=3

a=1

b=7

c=10

[tex] \boxed{x = \frac{ - 7± \sqrt{7 {}^{2} - 4 \times 1 \times 10} }{2 \times 1} }[/tex]

[tex]x = \frac{ - 7 +3 }{2} \\ x = \frac{ - 7 - 3}{2} \\ x = - 2 \\ x = - 5[/tex]

resultado

[tex] \boxed{ \red{x = - 2 \: \: x = - 5}}[/tex]

espero te ayude

saluditos..