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Mathematics 14 Online
OpenStudy (anonymous):

√9x-8=√10

OpenStudy (anonymous):

is the x under the square root ?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

do you have to find x?

OpenStudy (anonymous):

Solve

OpenStudy (anonymous):

Square root of 9x-8 equals squrae root of 10

OpenStudy (anonymous):

Multiple choice a.) x=1 b.) x=2 c.) x=12 d.) none of the above

OpenStudy (anonymous):

I got 9x-8 = 10 9x = 10 + 8 9x = 18 x = 18 / 9 x = 2

OpenStudy (anonymous):

Is this correct?

OpenStudy (anonymous):

\[\sqrt{9x}\] = 8 + \[\sqrt{10}\] square both sides 9x = 64+ 10 + \[16\sqrt{10}\] so now we add integers at the left side and divide by 9 x = 74/9 + 16/9 \[\sqrt{10}\]

OpenStudy (anonymous):

or Square root of (9x) - 8= square root of (10) 9x (-8)^2 = 10 9x + 64 = 10 9x = 10 -64 9x = -54 x = -54/9 = -6

OpenStudy (anonymous):

No, remember that (a+b)^2 = a^2 + 2ab + b^2 (a-b)^2 = a^2 - 2ab + b^2 proof is (a+b)*(a+b)= a*a + a*b + b*a + b*b = a^2 + a*b + a*b + b^2 = a^2 + 2ab + b^2 and for second one (a-b)*(a-b)= a*a + a*(-b) + (-b)*a + (-b)*(-b) = a^2 - a*b - a*b + b^2 = a^2 - 2ab + b^2

OpenStudy (anonymous):

got it

OpenStudy (anonymous):

Thank you

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