SOLUTION: Solve each equation for x. (((Please do it step by step so i can unserstand it thanks.))) {{{sqrt(9x+378)=3sqrt(7x)}}} Step 1: Square both sides of the equation. Show your work.

Algebra ->  Test -> SOLUTION: Solve each equation for x. (((Please do it step by step so i can unserstand it thanks.))) {{{sqrt(9x+378)=3sqrt(7x)}}} Step 1: Square both sides of the equation. Show your work.       Log On


   

Question 195025: Solve each equation for x. (((Please do it step by step so i can unserstand it thanks.)))
sqrt%289x%2B378%29=3sqrt%287x%29
Step 1: Square both sides of the equation. Show your work.
Step 2: Solve the equation from step 1 for x. Show your work.
Step 3: Check your solution from step 2 in the original equation. Show your work.
Step 4: State the solution for the equation sqrt%289x%2B378%29=3sqrt%287x%29
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt ( 9x +378 ) = 3 * sqrt ( 7x)
.
squaring both sides
.
9x+378 =9*7x=63x
.
simply
.378 = 54x
.
x = 7,,,,,,,ANSWER
,
checking
.
sqrt ( 9*7 +378 ) = 3 * sqrt ( 7 * 7 )
.
sqrt ( 63 +378 ) = 3 *sq rt (49)
.
sqrt ( 441) = 3 * 7
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21 = 21
.
The solution is ,,,,,, x = 7