Question

vamos lá galera pitágoras quero saber o valor de X:


(x+6)²=(x+5)² +(x-2)²

Answer 1

(x+6)^2=(x+5)+(x-2)

(x+6)^2
(x)^2+2(x)(6)+(6)^2
x^2+12x+36

(x+5)^2
(x)^2+2(x)(5)+(5)^2
x^2+10x+25

(x-2)^2
(x)^2-2(x)(2)+(2)^2
x^2-4x+4

(x+6)^2+(x+5)^2+*x-2(^2
x^2+12x+36=(x^2+10x+25)+(x^2-4x+4)
x^2+12x+36=2x^2-6x+21
x^2+12x+36-2x^2+6x-21
-x^2+18x+15=0(-1)
x^2-18x-15=0
a=1,b=-18,c=-15
€=b^2-4ac
€=(-18)^2-4(1)(-15)
€=324-4(-15)
€=324+60
€=384
x=-(-18)+,-\/384/2(1)
x=18+,-19,59/2
x1=18+19,59/2
x1=37,59/2
x1=18,79
x2=18-19,59/2
x2=-1,59/2
x2=-0,795
x2=-0,79