Question

Si (x + 3)2 - ( x - 3)2 = 48 y (m2 + 3)2 + (m2- 3)2 = 34 , donde los valores de “x” y “m” son positivos; halla el valor de (x + m)2

Answer 1

Respuesta:

Explicación paso a paso:

(x+3)²-(x-3)²=48

x²+6x+9-x²+6x-9=48

12x=48

x=2

(m + 3)² + (m²- 3)² = 34

$m^{4} +6m^{2} +9+m^{4} -6m^{2} +9=34$

$2m^{4} +18=34\\\\2m^{4}=16\\m^{4}=8\\m_{1} =+\sqrt[4]{8} \\m_{2} =-\sqrt[4]{8}$

$(x+m)^{2} =(2+\sqrt[4]{8})^{2} =4+4\sqrt[4]{8}+ 2\sqrt{2}$