Question

Resolve
X²-10x+25=0

Answer 1

EQUAÇÃO DO 2° GRAU COMPLETA.


x² - 10x + 25 = 0

A= 1
B = - 10
C = 25


∆ = b² - 4ac

∆= (-10)² - 4 . 1 . 25
∆= 100 - 100
∆= 0

x = - b ± √∆ / 2a

x = - (-10) ± √0 / 2 • 1
x = 10 ± 0 / 2

x' = 10 + 0 / 2 = 10 / 2 = 5
x'' = 10 - 0 / 2 = 10 / 2 = 5

S={ 5 }

Answer 2

Resposta:

$S=\{5\}$

Explicação passo-a-passo:

$x^{2} -10x+25=0\\\\a=1\\b=(-10)\\c=25$

$\Delta=b^{2} -4ac\\\Delta=(-10)^{2}-4\times1\times25\\\Delta=100-100\\\Delta=0$

$x=\frac{-b\pm\sqrt{\Delta} }{2a} \\\\x=\frac{-(-10)\pm\sqrt{0} }{2\times1} \\\\x=\frac{10\pm0}{2}$

$x_{1} =\frac{10+0}{2} =\frac{10}{2} =5\\\\x_{2}=\frac{10-0}{2}=\frac{10}{2} =5$