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Mathematics 9 Online
OpenStudy (anonymous):

Help please

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

What is your question?

OpenStudy (anonymous):

Solve the equation. x^2=160

OpenStudy (anonymous):

do you want a direct answer or explaintion

OpenStudy (anonymous):

Explanation please.

OpenStudy (anonymous):

^2 means an exponet, which you have multiply the number by the number it says for example: 3 3 3 3 3^4 = _____ x _____ x _____x _______ there are four places for the number three

OpenStudy (anonymous):

in this case, _____ x ____ = 160

OpenStudy (mathmale):

Solve x^2=160. One way would be to take the square root of both sides. Can y ou do that?

OpenStudy (anonymous):

TheCleaverOne i ment square root

OpenStudy (anonymous):

then just find the sme number that muliply together that equal that number

OpenStudy (anonymous):

Mathmale it does not come out as a perfect square though.

OpenStudy (anonymous):

you can round

OpenStudy (anonymous):

12.64 is your answer

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

Thank you!!! :D

OpenStudy (anonymous):

care to fan and medal

OpenStudy (mathmale):

True, 160 is not a perfect square. However, you can write Sqrt(160) as\[\sqrt{160}=\sqrt{10}\sqrt{16}\]

OpenStudy (mathmale):

Note that 16 is a perfect square, so that the square root of 16 is easily found. What is your final result? Remember, this is a quadratic equation, so you MUST write out 2 roots. The roots of x^2-160=0 are: What?

OpenStudy (anonymous):

4 and 10?

OpenStudy (mathmale):

"care to fan and medal?" is not an appropriate request. See the Code of Conduct, please.

OpenStudy (mathmale):

If x^2-160=0, then x^2=160 Taking the sqrt of both sides results in x = plus or minus Sqrt(10)*Sqrt(16). Yes, 4 is the sqrt of 16. Must leave sqrt(10) as is, since 10 is not a perfect square.

OpenStudy (anonymous):

Can you help me with some more?

OpenStudy (mathmale):

If you'll post them one by one, yes.

OpenStudy (mathstudent55):

In general, the solution to \(x^2 = k\) where k is a number is \(x = \pm \sqrt k\) In your case, k = 160. Find the square root as you did above, but don't forget the negative solution also.

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