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Soloha48 [4]
3 years ago
10

Please help mee pleaseee

Mathematics
2 answers:
skad [1K]3 years ago
6 0

Answer:

<u>x = 14.62 (Rounding to two decimal places)</u>

Step-by-step explanation:

Let's solve for x, this way:

- 7 = 8 - 3 ⁵√x³

- 15 = - 3 ⁵√x³ (Subtracting 8 at both sides)

5 =  ⁵√x³ (Dividing by - 3 at both sides)

5 ⁵ = x³(Raising both sides to the 5th power)

3,125 = x³

x = ∛ 3,125 (Cube root to both sides)

<u>x = 14.62 (Rounding to two decimal places)</u>

nalin [4]3 years ago
4 0

Answer:

The exact answer in terms of radicals is x = 5*\sqrt[3]{25}

The approximate answer is x \approx 14.62009 (accurate to 5 decimal places)

===============================================

Work Shown:

Let y = \sqrt[5]{x^3}

So the equation reduces to  -7  = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

-----------

Since y = \sqrt[5]{x^3} and y = 5, this means we can equate the two expressions and solve for x

y = 5

\sqrt[5]{x^3} = 5

x^3 = 5^5 Raise both sides to the 5th power

x^3 = 3125

x = \sqrt[3]{3125} Apply cube root to both sides

x = \sqrt[3]{125*25}

x = \sqrt[3]{125}*\sqrt[3]{25}

x = \sqrt[3]{5^3}*\sqrt[3]{25}

x = 5*\sqrt[3]{25}

x \approx 14.62009

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