Question

4x^2 + 24x + 36 = 40000
Oblicz x

Answer 1

Odpowiedź:

[tex]x\in\{-103;97\}[/tex]

Szczegółowe wyjaśnienie:

[tex]4x^2 + 24x + 36 = 40000\\4x^2+24x+36-40000=0\\4x^2+24x-39964=0|:4\\x^2+6x-9991=0\\\Delta=6^2-4\cdot1\cdot(-9991)\\\Delta=36+39964\\\Delta=40000\\\sqrt{\Delta} =\sqrt{40000} =200\\x_1=\frac{-6-200}{2\cdot1} =\frac{-206}{2} =-103\\\\x_2=\frac{-6+200}{2\cdot1} =\frac{194}{2} =97[/tex]