Question

X^2-9x=4x-4 ❤️❤️❤️❤️❤️

Answer 1

Ответ:

$x_1=\frac{13+3\sqrt{17}}{2}\\\\x_2=\frac{13-3\sqrt{17}}{2}$

Пошаговое объяснение:

$x^2-9x=4x-4\\\\x^2-9x-4x+4=0\\\\x^2-13x+4=0\\\\D=13^2-4*4=169-16=153\\\\\\x_1=\frac{13+\sqrt{153}}{2}=\frac{13+\sqrt{9*17}}{2}=\frac{13+3\sqrt{17}}{2}\\\\\\x_2=\frac{13-3\sqrt{17}}{2}$

Answer 2

To solve the equation x^2 - 9x = 4x - 4, we need to find the value(s) of x that satisfy the equation. To do that, we'll first simplify the equation and then solve for x.

Step 1: Combine like terms on both sides of the equation: x^2 - 9x - 4x = -4

Step 2: Combine the x terms on the left side of the equation: x^2 - 13x = -4

Step 3: Move the constant term to the left side to set the equation to zero: x^2 - 13x + 4 = 0

Now, we have a quadratic equation in the standard form of ax^2 + bx + c = 0, where a = 1, b = -13, and c = 4. To solve this quadratic equation, we can use the quadratic formula:

The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 - 4ac)) / 2a

Plugging in the values, we get:

x = (13 ± √((-13)^2 - 4 * 1 * 4)) / 2 * 1 x = (13 ± √(169 - 16)) / 2 x = (13 ± √153) / 2

Now, we have two possible solutions for x:

1. x = (13 + √153) / 2
2. x = (13 - √153) / 2

The exact values for these solutions will depend on the decimal representation of √153. If you need a numerical approximation, you can calculate it using a calculator or math software.