Question

$x + \sqrt{x} =12$

Answer 1

x+$\sqrt{x}$-x=12-x
$\sqrt{x}$=12-x
($\sqrt{x}$)²=(12-x)²
($\sqrt{x}$)²=$(x \frac{1}{2}) *2$=$\frac{1*2}{2}$=$\frac{2}{2}$=1=x
(12-x)²=144-24x+x²=
X1=16 substituindo = falso
X2=9 substituindo = verdadeiro

RESPOSTA É 9

Answer 2

$x + \sqrt{x} = 12 \\ \\ \sqrt{x} = 12 - x \\ \\ x = 144 - 24x + x^{2} \\ \\ x - 144 + 24x - x^{2} = 0 \\ \\ 25x - 144 - x^{2} = 0 \\ \\ d = b^{2} - 4.a.c \\ \\ aplicando \: temos \\ \\ x = \frac{25 + - \sqrt{49} }{2} \\ \\ x = \frac{25 + - 7}{2} \\ \\ x1 = \frac{25 + 7}{2} \\ \\ x1 = 16 \\ \\ x2 = \frac{25 - 7 }{2} \\ \\ x2 = 9$



16+\/16=12
9+\/9=12

20=12
12=12

x1=falsa

x2=verdadeira