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# [(1.08)(1+x)] 1/2 - 1 =10 what is x?

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[(1.08)(1+x)] 1/2- 1 =10 what is x?

Guest Jun 4, 2017
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#1
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Solve for x:
1.03923 sqrt(x + 1) - 1 = 10

1.03923 sqrt(x + 1) = 11

Divide both sides by 1.03923:
sqrt(x + 1) = 10.5848

Raise both sides to the power of two:
x + 1 = 112.037

Subtract 1 from both sides:

Guest Jun 4, 2017
#4
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Guest Jun 6, 2017
#2
+1493
+2

I am only showing this alternate solution because I think it is a nicer way of solving it than what the guest provided. His/her method, though, is sound and is perfectly fine.

 $$[(1.08)(1+x)]^{\frac{1}{2}}-1=10$$ Add 1 on both sides $$[(1.08)(1+x)]^{\frac{1}{2}}=11$$ Simplify $$(1.08)(1+x)$$ by distributing the 1.08 to the 1 and the x. $$(1.08+1.08x)^{\frac{1}{2}}=11$$ Taking something to the power of 1/2 is the same as square root, so let's write it like that $$\sqrt{1.08+1.08x}=11$$ Square both sides to get rid of the radical $$1.08+1.08x=121$$ Subtract 1.08 on both sides $$1.08x=119.92$$ Divide by 1.08 on both sides to isolate x. $$x=\frac{119.92}{1.08}$$ Multiply the numerator and denominator by 100 to make them whole numbers $$x=\frac{11992}{108}\div\frac{4}{4}$$ Divide the numerator and denominator by its GCF, 4, to put the improper fraction in simplest terms. $$x=\frac{2998}{27}=111.\overline{037037}$$ You are done! This is your final answer!
TheXSquaredFactor  Jun 4, 2017
edited by TheXSquaredFactor  Jun 5, 2017
#5
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Thank you for helping!

Guest Jun 6, 2017
#3
0

[(1.08)(1+x)] 1/2-1=10

[(.54)(.5+x)]-1=10

(-.54)(-.5+x)=10

-.54-.5+x=10

1.04+x=10

-1.04      -1.04

x=8.96

I looked at the other answers and I'm a freshman going into sophomore year taking geometry so, don't look at this as laugh.

Guest Jun 5, 2017

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