Question

(4x+1)(16x²-4x+1)-16x(4x²-5)=17​

Answer 1

Ответ:

Объяснение:

(4x+1)(16x²-4x+1)-16x(4x²-5)=17

Раскрываем скобки

64х^3-16х^2+4х+16х^2-4х+1-64^3+80х=17

1+80х=17

80х= 16

Х= 1/5

Х=0,2

Answer 2

Ответ:

$\displaystyle x = \frac{1}{5}$

Объяснение:

$\displaystyle (4x +1 ) (16x^{2} - 4x + 1) - 16x )4x^{2} - 5) = 17$

$1 + 80x = 17$

$80x=17-1$

$80x = 16$

$x = \frac{1}{5}$

Ответ: $x = \frac{1}{5}$

Answer 3

To solve the given equation, we need to simplify the expression on the left-hand side and then solve for the value(s) of 'x' that satisfy the equation.

Step 1: Simplify the left-hand side of the equation: Expand the expression using the distributive property: (4x + 1)(16x² - 4x + 1) - 16x(4x² - 5) = 17

(4x + 1)(16x²) + (4x + 1)(-4x) + (4x + 1)(1) - 16x(4x²) - 16x(-5) = 17

64x³ + 16x² - 16x² - 4x - 4x - 1 - 64x³ + 80x = 17

Now, we can cancel out the like terms: 80x - 1 = 17

Step 2: Isolate 'x': Add 1 to both sides: 80x = 18

Finally, divide both sides by 80 to get the value of 'x': x = 18/80

Simplify the fraction: x = 9/40

So, the value of 'x' that satisfies the given equation is 9/40.