Question

(x-5)²-x(x+4)=11 mne nujen konkretnii otvet

Answer 1

$x^{2} -10x+25-x^{2} -4x=11$

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$x=1$

Answer 2

Razreshim eto uravnenie:

(x-5)² - x(x+4) = 11

Nuzhno rasskryt kvadrat (x-5)²:

(x-5)(x-5) - x(x+4) = 11

Raspredelim vyrazhenie v skobkakh:

x² - 10x + 25 - x² - 4x = 11

Sokratim x² i -x²:

-10x - 4x - x² + x² + 25 = 11

Slozhim podobnye terminy:

-14x + 25 = 11

Perenessim 11 na levuyu storonu i pomenyaem znak:

-14x = 11 - 25

-14x = -14

Delya obе storony uravneniya na -14:

x = -14 / -14

x = 1

Znachenie x v dannom uravnenii raven 1.