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erastovalidia [21]
3 years ago
14

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

Mathematics
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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20 points!!
ANEK [815]

See below for the proof of the equation \frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)

<h3>How to prove the equation?</h3>

The equation is given as:

\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)

Take the LCM

\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)

Expand

\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)

Evaluate the like terms

\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)

Rewrite as:

\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)

Factorize the numerator

\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation \frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b) has been proved

Read more about equations at:

brainly.com/question/2972832

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5 0
2 years ago
1. A shipping box has the
inysia [295]

Answer:

220.5 in³

Step-by-step explanation:

<u>Volume = L×W×H</u>

Volume = 10.5 in × 7 in × 3 in

Volume = 220.5 in³

4 0
3 years ago
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The ratio of male students to female students in a class is 5:4. If the number of male students in the class is
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Answer:

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Step-by-step explanation:

In ratio what you do one side you do on the other side 5:4=25:20

5×5=25

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Step-by-step explanation:

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Substitute the given values for B and h into the formula

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