Question

-16+4х²/(8+х)(8-х)=0

Answer 1

так как нижняя часть не может быть 8 имеем

-16+4x^2=0

4x^2=16

x^2=4

x=2

x=-2

Answer 2

Ответ:

Ответ:-2;2

Объяснение:

Надеюсь все понятно

Answer 3

To solve the equation -16 + (4x²) / ((8 + x)(8 - x)) = 0, we need to find the values of x that satisfy the equation. Let's proceed step by step:

Step 1: Simplify the expression on the left side of the equation: -16 + (4x²) / ((8 + x)(8 - x)) = 0

First, we can simplify the denominator: (8 + x)(8 - x) = 64 - x²

Now, we can rewrite the equation as: -16 + (4x²) / (64 - x²) = 0

Step 2: Eliminate the fraction: Multiply both sides by (64 - x²) to eliminate the fraction: -16(64 - x²) + 4x² = 0

Step 3: Expand and rearrange the equation: -1024 + 16x² + 4x² = 0

Step 4: Combine like terms: 20x² - 1024 = 0

Step 5: Move the constant term to the other side: 20x² = 1024

Step 6: Isolate x by dividing both sides by 20: x² = 1024 / 20 x² = 51.2

Step 7: Take the square root of both sides to find the possible values of x: x = ±√(51.2)

Therefore, the solutions for x are approximately: x ≈ +√(51.2) ≈ +7.155 x ≈ -√(51.2) ≈ -7.155

So, the two solutions for the given equation are x ≈ 7.155 and x ≈ -7.155.