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erastovalidia [21]

3 years ago

14

What is the only solution of 2x2 + 8x = x2 – 16

2 answers:

Blababa [14]3 years ago

6 0

If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

The correct result would be x = - 4.

Mazyrski [523]3 years ago

4 0

Answer:

x = -4 is the only solution.

Step-by-step explanation:

The given equation is 2x² + 8x = x² - 16

We can find the value of x by solving the equation.

(2x² + 8x) - x² = (x² - 16) - x²

x² + 8x = - 16

(x² + 8x) + 16 = (-16) + 16

x² + 8x + 16 = 0

(x + 4)² = 0 [ Since a² + b² + 2ab = (a + b)²]

⇒ (x + 4) = 0

x = -4

Therefore, x = -4 is the only solution of the given equation.

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