Question

how to do these surd equations?
x-1 = square root 5x-9

x-3 = square root 30 - 2x

Answer 1

\[x-1 = \sqrt{5x-9}\]

Answer 2

and \[x-3 = \sqrt{30-2x}\]

Answer 3

the question is to solve for x and y ?

Answer 4

No, just for x

Answer 5

Well... the seemingly natural way to do it is to square both sides of the equation...

Answer 6

Take the first one, for instance...
\[\Large (x-1)^2 = \left(\sqrt{5x-9}\right)^2\]
Squaring would cancel the radical, leaving you with...
\[\Large x^2 -2x + 1 = 5x -9\]

Answer 7

for the first one x=5 ans x=2

Answer 8

you just have to square both sides first then factorize the square

Answer 9

and for the second one x=7 and x=-3

Answer 10

did that make sense ?

Answer 11

is there meant to be two solutions for those questions?

Answer 12

yeah

Answer 13

cuz when square both side you will get x^2 in the left side and thar tells there are two independent solutions for the equation

Answer 14

can you show me your working because i got a completely different answer

Answer 15

sure just a sec