Question

Raiz da equação do 2 grau incompleta :  
a: 2X²-18=0

b: 3X²-75=0

c: 4X²-100=0

d: 9X²-1=0

e: 5X²-10=0

Answer 1

a: 2X²-18=0 => 2x² = 18 => x² = 9 => x = √9 => x = +-3

b: 3X²-75=0 => 3x² = 75 => x² = 25 => x = √25 => x= +-5

c: 4X²-100=0 => 4x² = 100 => x² = 25 => x = √25 => x= +-5

d: 9X²-1=0 => 9x² = 1 => x² = 1/9 => x = √1/√9 => x = +-1/3

e: 5X²-10=0 => 5x² = 10 => x² = 2 => x = +-√2

Answer 2

Olá Leeh,

a) $2 x^{2} -18=0\\ 2 x^{2} =18\\ x^{2} =18/2\\ x^{2} =9\\ x=\pm \sqrt{9}\\ x=\pm3$


b) $3 x^{2} -75=0\\ 3 x^{2} =75\\ x^{2} =75/3\\ x^{2} =25\\ x=\pm \sqrt{25}\\ x=\pm5$


c) $4 x^{2} -100=0\\ 4 x^{2} =100\\ x^{2} =100/4\\ x^{2} =25\\ x=\pm \sqrt{25}\\ x=\pm5$


d) $9 x^{2} -1=0\\ 9 x^{2} =1\\ x^{2} =1/9\\ x=\pm \sqrt{ \frac{1}{9} }\\\\ x=\pm \frac{1}{3}$


e) $5 x^{2} -10=0\\ 5 x^{2} =10\\ x^{2} =10/5\\ x^{2} =2\\ x=\pm \sqrt{2}$

Espero ter ajudado e tenha ótimos estudos =))