Question

Resolva a equação literal de incógnita x, abaixo!

( x - a )² + ( x + a )² = 18a²

Answer 1

$(x-a)^2+(x+a)^2=18a^2\\ \\ x^2-2ax+a^2+x^2+2ax+a^2=18a^2\\ \\ 2x^2=16a^2\\ \\ x^2=8a^2\\ \\ x=\pm 2 a\sqrt{2}$

Answer 2

(x² - 2ax + a²) + (x²+2ax +a²)=18a²
2x²+2a²=18a²
2x²=18a²-2a²
2x²=16a²
x²=16a²/2
x²=8a²
x=2a$\sqrt{2}$