Could someone please explain/show me how to solve this problem?

Question

sq rt ( 5u+10) = sq rt(9u+7)


solve for u


THANKS! =)

Answer 1

Square both sides, then solve.

sqrt(5u+10) = sqrt(9u+7)
(5u+10) = (9u+7)
5u-9u=7-10
-4u=-3
u=3/4

Answer 2

One more solution:
Sq root (5u + 10) = Sq root(9u + 7)
By squaring both side
+/-(5u+10)=+/-(9u+7)
By taking + in LHS and - in RHS
5u+10= -9u-7
=> 14u = -17
=> u= -17/14

Answer 3

sqrt (5u + 10) = sqrt (9u + 7)

^2 both sides...

5u + 10 = 9u + 7

10 = 4u + 7

3 = 4u

u = 3/4 (Result)

Answer 4

_/(5u + 10 = _/(9u + 7)
Square both sides of the equation to remove the radical sign
5u + 10 = 9u + 7
4u = 3
u = 3/4

Answer 5

if you're square root-ing the whole expression then
sqr rt of 5u+10=sqr rt of 9u+7
(sqr rt of 5u+10)^2=(sqr rt of 9u+7)^2
5u+10=9u+7
10-7=9u-5u
3=4u
u=3/4
just my hunch, haha! XD

Answer 6

This last reply is wrong. No +/- here

All the above forgot to check if this value, that is actually right, is really a root of the equation

You have to study the expression's domain or, at least, plug the value in the expression and see if it really is a root

Example

From

x-1 = 2x+1

I get

x = -2

But, from V(x-1) = V(2x+1), if I square, I get this equaion and this root, while V(x-1), when x = -2, doesn't even exist in R

Ilusion

Answer 7

square both sides to get
5u+10 = 9u+7 then
-4u = -3 and
u = 3/4

Doug

Answer 8

sqrt(5u+10)=sqrt(9u+7)
(5u+10)=(9u+7)
10-7=9u-5u
3=4u
3/4=u or u=.75