Question

(a+8)^2-25=0 помогите решить

Answer 1

Ответ:

- 3

-13

Объяснение:

a^2 + 16a + 64 - 25 = 0

a^2 + 16a + 39 = 0

D = b^2 - 4ac => 16×16 - 4×1×39 =256 - 156 =100

Корень квадратный из 100 = 10

1) (-16 +10) / 2 = - 3

2) (-16 - 10) / 2 = - 13

Answer 2

Solving the Equation (a+8)^2-25=0

To solve the equation (a+8)^2-25=0, we can use the method of factoring and then applying the square root property.

First, let's start by adding 25 to both sides of the equation to isolate the squared term:

(a+8)^2 = 25

Now, we can take the square root of both sides of the equation:

a+8 = ±√25

This gives us two equations to solve for a:

1. a+8 = √25 2. a+8 = -√25

Solving for a in each equation will give us the solutions for the original equation.

Solving for a

1. For the equation a+8 = √25: - Subtract 8 from both sides: a = √25 - 8 - Calculate the value: a = 5 - 8 - Therefore, a = -3

2. For the equation a+8 = -√25: - Subtract 8 from both sides: a = -√25 - 8 - Calculate the value: a = -5 - 8 - Therefore, a = -13

So, the solutions for the equation (a+8)^2-25=0 are: - a = -3 - a = -13

Therefore, the solutions to the equation are a = -3 and a = -13.