Question

Х² +7х -144 =0 помогите решить,пожалуйста

Answer 1

Х1 = -16
х2 = 9
По теореме Виета

Answer 2

X²+7x-144=0
D=49+576=625
x=9
x=-16

Answer 3

Quadratic Equation Solution

To solve the quadratic equation x² + 7x - 144 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 7, and c = -144.

Applying the Quadratic Formula

Using the quadratic formula, we can calculate the solutions for x:

x = (-7 ± √(7² - 4*1*(-144))) / (2*1)

Calculating the Discriminant

First, let's calculate the discriminant (the value inside the square root):

Discriminant = b² - 4ac

Discriminant = 7² - 4*1*(-144)

Discriminant = 49 + 576

Discriminant = 625

Finding the Solutions

Now, we can find the solutions for x using the quadratic formula:

x₁ = (-7 + √625) / 2

x₂ = (-7 - √625) / 2

Simplifying the Solutions

Solving the square root:

√625 = 25

So, the solutions for x are:

x₁ = (-7 + 25) / 2 = 18 / 2 = 9

x₂ = (-7 - 25) / 2 = -32 / 2 = -16

Therefore, the solutions for the equation x² + 7x - 144 = 0 are x = 9 and x = -16.

(#1)(#2)(#3)(#4)