4分之X的括号的平方加4分之56-X的括号的平方等于100的一元二次方程怎么求?

(x/4)^2 + [(56-x)/4]^2 = 100
两边同乘以4^2：
x^2 + (56-x)^2 = 1600
x^2 + 56^2 - 112x +x^2 = 1600
2x^2 - 112x + 56^2 -40^2 = 0
2x^2 - 112x + (56+40)(56-40) = 0
2x^2 - 112x + 96*16 = 0
x^2 - 56x + 48*16 = 0
x^2 - 56x + 24*32 = 0
(x-24)(x-32) = 0
x1=24,x2=32