Question

alguien me puede decir como es❓​

Answer 1

Verified answer

Respuesta:

[tex]a)\\\\x^2 + 18x + 81=\\\\(x + 9)(x + 9)\\\\x= -9\\\\x = -9[/tex]

[tex]b)\\x^2 + 24x + 144=\\\\(x + 12)(x + 12)\\\\x = -12\\\\x = -12[/tex]

[tex]c)\\\\x^2 + 20x + 100 = \\\\(x + 10)(x + 10)\\\\x = -10\\\\x = -10[/tex]

[tex]d)\\\\x^2 + 16x + 64=\\\\(x + 8)(x + 8)\\\\x = -8\\\\x = -8[/tex]

[tex]e)\\\\x^2 + 30x + 225=\\\\(x + 15)(x + 15)\\\\x = -15\\\\x = -15\\\\[/tex]

[tex]f)\\\\4x^2 + 12x + 9=\\\\\frac{(4x + 6)(4x + 6)}{4}\\\\\frac{2(2x + 3)2(2x + 3)}{4}\\\\(2x + 3)(2x + 3)\\\\2x+3=0\\\\2x = -3\\\\x = -\frac{3}{2}[/tex]

[tex]g)\\\\9x^2 + 30x + 25=\\\\\frac{(9x+ 15)(9x + 15)}{9}\\\\\frac{3(3x + 5)3(3x+5)}{9}\\\\(3x + 5)(3x + 5)\\\\3x + 5 = 0\\\\3x = -5\\\\x = -\frac{5}{3}[/tex]

[tex]h)\\\\25x^2 + 10x + 1=\\\\\frac{(25x + 5)(25x + 5)}{25}\\\\\frac{5(5x + 1)5(5x + 1)}{25}\\\\(5x + 1)(5x + 1)\\\\5x + 1 = 0\\\\5x = -1\\\\x = -\frac{1}{5}[/tex]

Explicación paso a paso: