Question

X^2 + 5=5x


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Answer 1

x² + 5 = 5x

x² + 5 - 5x = 0

x² - 5x + 5 = 0

∆ = (-5)² - 4.1.5

∆ = 25 - 20

∆ = 5

$x = \frac{ - ( - 5) + - \sqrt{5} }{2 \times 1}$

$x = \frac{5 + - \sqrt{5} }{2}$

$x' = \frac{5 - \sqrt{5} }{2} \\ x" = \frac{5 + \sqrt{5} }{2}$

Answer 2

Resposta:

x² + 5=5x

x²-5x+5=0

x²-5x +25/4 -25/4 +5=0

(x-5/2)² -25/4+20/4=0

(x-5/2)²-5/4=0

(x-5/2)²=5/4

x-5/2=±√(5/4)

x-5/2=±√5/2

x'= 5/2+√5/2

x''=5/2-√5/2