Question

Need help. Need someone to walk through with solving this surd equation:

3 sqrtx = x-10

Answer 1

\[3\sqrt{x}=x-10\]

Answer 2

when u square both sides u will get a quadratic equation \[x ^{2}-29x+100\]
now solve this equation and substitute the values of x in ur equation and see which value satisfies it

Answer 3

so i got x = 25 and x = 4 but im confused on how to substitute the values of x

Answer 4

therefore for x=25
\[3\sqrt{x}\]=3sqrt25=3(5)=15
and rhs=25-10=15
so rhs=lhs so it satisfies the equation now substitute at x=4 and see if lhs = rhs

Answer 5

arent you meant to substitute in x =25 for the whole equation of 3 sqrtx = x-10 not just 3sqrt x?

Answer 6

oh dw you did, didnt read it properly

Answer 7

yes you have to substitute the value of x in both sides and see if they give the same value .

Answer 8

so is x =25 the only solution as x =4 i got 6 and - 6

Answer 9

yes so x=25 is ur solution

Answer 10

thank you very much for your help