Question

(x - 5)* - 5(x - 5)2 + 4 = 0.

Answer 1

Ответ:

4.2; 6

Объяснение:

(x - 5)- 5(x - 5)² + 4 = 0

x - 5= у- это замена. сведем уравнение к уравнению

у-5у²+4=0, по теореме ,обратной теореме Виета у=1, у=-0.8

если x - 5=1, то х=6;

x - 5=-0.8, то х=4.2

Answer 2

Let's solve the given quadratic equation step by step:

$(x - 5) \cdot - 5(x - 5)^2 + 4 = 0$

First, let's simplify the equation by expanding and combining like terms:

$-5(x - 5)^3 + 4 = 0$

Next, let's isolate the polynomial term on one side of the equation:

$-5(x - 5)^3 = -4$

Now, divide both sides by -5 to isolate the polynomial:

$(x - 5)^3 = \frac{4}{5}$

Now, take the cube root of both sides to solve for $x - 5$:

$x - 5 = \sqrt[3]{\frac{4}{5}}$

$x - 5 = \left(\frac{4}{5}\right)^{\frac{1}{3}}$

$x = 5 + \left(\frac{4}{5}\right)^{\frac{1}{3}}$

Now, you can calculate the approximate value of $x$:

$x \approx 5 + 0.87228$ (approximately)

$x \approx 5.87228$ (approximately)