Mathematics
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OpenStudy (anonymous):
how do sove for the solutions for ;
the square root of x+ the square root of x-36 which then =0?
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OpenStudy (anonymous):
Subtract the square root of x-36 from both sides!
now: the square root of x = -the square root of x-36
OpenStudy (anonymous):
\[\sqrt{x} = -\sqrt{x-36}\]
OpenStudy (anonymous):
what about the 2?
OpenStudy (anonymous):
Square both of them\[(\sqrt{x})^{2} = (-\sqrt{x-36})^{2}\]
OpenStudy (anonymous):
what 2
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OpenStudy (anonymous):
?
OpenStudy (anonymous):
im so sry the whole thing is equal to 2 not 0 im so sry
OpenStudy (anonymous):
ok...then it is:
\[(\sqrt{x})^{2} = (2-\sqrt{x-36})^{2}\]
OpenStudy (anonymous):
\[x = 4 - 2\sqrt{x-36} - 2\sqrt{x-36} + x - 36\]
OpenStudy (anonymous):
\[x = -32 + x + -4\sqrt{x-36}\]
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OpenStudy (anonymous):
\[x - x + 32 = -4\sqrt{x-36}\]
OpenStudy (anonymous):
\[32 = -4\sqrt{x-36}\]
OpenStudy (anonymous):
\[(32)^{2} = (-4\sqrt{x-36})^{2}\]
OpenStudy (anonymous):
no no!!
OpenStudy (anonymous):
wait a sec!
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OpenStudy (anonymous):
Instead of square rooting 32 and the other, first divide -4 from both sides!
OpenStudy (anonymous):
\[(-8)^{2} = (\sqrt{x-36})^{2}\]
OpenStudy (anonymous):
you following?
OpenStudy (anonymous):
64 = X-36
64 + 36 = X - 36 + 36
100 = X
OpenStudy (anonymous):
thank you! :)