Question

Quantas raises tem na equaçao 25-10x+x²=0

Answer 1

O resultado está na foto

Answer 2

Resposta:

$S=\{5\}$

Explicação passo-a-passo:

25 - 10x + x² = 0 (Reorganize os termos)

x² - 10x + 25 = 0

$a=1\\b=(-10)\\c=25$

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

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

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