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Mathematics
04.01.2020 12:49
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8.4x^2/3 - 1.2x^1/3 = 24 i get x= 1.76 and x= -1.61 it is not right what am doing

8.4x^2/3 - 1.2x^1/3 = 24 i get x= 1.76 and x= -1.61 it is not right what am doing wrong? : (
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derekmartinez
derekmartinez
4,5(90 marks)

x=-4.25 and x=5.48

Step by Step Explanation:

We have been given an equation 8.4x^{\frac{2}{3}}-1.2x^{ \frac{1}{3}}=24. We can convert this equation to a quadratic by making a substitution x^{\frac{1}{3}}=y.

Therefore, our new equation becomes:

8.4y^{2}-1.2y=24

8.4y^{2}-1.2y-24=0

Upon using quadratic formula, we get:

y=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}=\frac{1.2\pm\sqrt{(-1.2)^{2}-4(8.4)(-24)}} {2(8.4)}

y=\frac{1.2\pm\sqrt{1.44+806.4}} {16.8}=\frac{1.2\pm\sqrt{807.54}} {16.8}

y=-1.620,1.763

These are the values of y, now we need to find the values of x, so we substitute these back into the equation x^{\frac{1}{3}}=y.

x^{\frac{1}{3}}=-1.620 gives us x=-4.25

x^{\frac{1}{3}}=1.763 gives us x=5.48

liana8
liana8
5,0(64 marks)
Dude this app is for homework purposes. Not to chat with people.

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