SOLUTION: {{{y=x*(9-2*x^2)^0.5}}} if y= 0 and x=a Find the value of a giving your answer as a multiple of {{{2^o.5}}} the answer it gives is {{{(3*2^0.5)/2}}} i keep trying this

SOLUTION: {{{y=x(9-2x^2)^0.5}}} if y= 0 and x=a Find the value of a giving your answer as a multiple of {{{2^o.5}}} the answer it gives is {{{(3*2^0.5)/2}}} i keep trying this

Question 53340This question is from textbook MEI structured mathematics A2 Pure mathematics c3/c4
:
if y= 0
and x=a
Find the value of a giving your answer as a multiple of
the answer it gives is
i keep trying this problem but cant get anywhere near the answer it gives, and cant see where im going wrong.
i keep getting
or
can you help? This question is from textbook MEI structured mathematics A2 Pure mathematics c3/c4

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, square both sides of the equation.
Now substitute y = 0 and x = a.
Apply the zero product principle.
and/or
Subtract 9 from both sides.
Divide both sides by -2.
Take the square root of both sides.
Finally, multiply numerator and denominator by

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