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Elan Coil [88]
3 years ago
6

What is the solution of the equation 4(3-x)^4/3-5=59

Mathematics
2 answers:
Simora [160]3 years ago
8 0
<span>The solution is x=<span>−<span>5 </span></span></span>

jasenka [17]3 years ago
6 0

Answer:

Given the equation:   4(3-x)^{\frac{4}{3}} -5 = 59

Add 5 to both sides we have;

4(3-x)^{\frac{4}{3}} = 64

Divide by 4 both sides we have;

(3-x)^{\frac{4}{3}} =16

or

3-x = (16)^{\frac{3}{4}

Using exponent rules;

a^{\frac{n}{m}} = (\sqrt[m]{a})^n

then;

3-x =( \sqrt[4]{16})^3

Simplify:

3-x = (2)^3

or

3-x = 8

subtract 3 from both sides we have;

-x = 5

Divide both sides by -1 we get

x = -5

Therefore, the solution for the given equation is, -5



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