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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
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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
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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