Question

Alguém pode ajudá pfv? E muito importante
x² =7x -6

Answer 1

x² = 7x -6
x² -7x +6 = 0

delta = b² -4ac
delta = (-7)² -4.1.6
delta = 49 - 24
delta = 25

x = -b +- √delta / 2a
x = -(-7) +- √25 / 2.1
x = 7+-5 /2
x' = 6 e x" = 1

Answer 2

$x^{2} =7x -6\to\\\\ x^{2} -7x+6=0\\\\ a=1;~b=-7;~c=6\\\\\\ \Delta=b^2-4ac\to \Delta=(-7)^2-4.1.6\to \Delta=49-24\to \boxed{\Delta=25}\\\\ x' \neq x''\\\\\\ x= \dfrac{-b\pm \sqrt{\Delta} }{2a} \to~~ x= \dfrac{-(-7)\pm \sqrt{25} }{2.1} \to~~ x= \dfrac{7\pm 5 }{2} \to~~ \\\\\\ x'= \dfrac{7+ 5 }{2} \to~~ x'= \dfrac{12 }{2} \to~~ \boxed{x'=6}\\\\\\ x''= \dfrac{7- 5 }{2} \to~~ x''= \dfrac{2 }{2} \to~~ \boxed{x''=1}\\\\\\\\\\ \large\boxed{\boxed{S=\{1~;~6\}}}$