3 years ago

What is the solution to the equation 2(x + 3)2 = 98?

Mathematics

1 answer:

Basile [38]3 years ago

8 0

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

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Answer:

$x = 6.6$ and $DE = 16.2$

Step-by-step explanation:

The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.

Given

$\frac{5}{9}= \frac{9}{(2x+3)}$

Required

Find x

Length of DE

To find x, we need to first simplify the given equation

$\frac{5}{9}= \frac{9}{(2x+3)}$

Multiply both sides by $9(2x+3)$

$\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)$

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Divide both sides by 10

$\frac{10x}{10} = \frac{66}{10}$

$x = \frac{66}{10}$

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From the attached;

$DE = 2x + 3$

Substitute 6.6 for x

$DE = 2(6.6) + 3$

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$DE = 16.2$

Hence $x = 6.6$ and $DE = 16.2$

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