Question

if square root of 2x+6 +square root of x+4=5 then find x​

Answer 1

Answer:

Explanation:

√(2x - 6) + √( x + 4) = 5

√{2( x +4) -14} + √(x +4) = 5

let ( x +4) = Q

√{2Q -14) + √Q = 5

√(2Q -14) = 5 - √Q

take square both sides

2Q - 14 = 25 + Q -10√Q

Q -39 = -10√Q

Q + 10√Q -39 = 0

√Q = t

t² + 10t -39 = 0

t² +13t -3t -39 = 0

( t + 13)( t -3) = 0

t = -13 , 3

but t > 0 becoz t = √Q

so,

t = √Q = 3

Q = 9

x + 4 = 9

x = 5

Answer 2

$\mathfrak{\huge{\pink{ANSWER}}}$

(っ◔◡◔ )っ ♥ BrainlyQuicky♥

We have

√(2x - 6) + √( x + 4) = 5

√{2( x +4) -14} + √(x +4) = 5

let ( x +4) = Q

So,

√{2Q -14) + √Q = 5

√(2Q -14) = 5 - √Q

Squaring on both sides

2Q - 14 = 25 + Q -10√Q

Q -39 = -10√Q

Q + 10√Q -39 = 0

√Q = t

t² + 10t -39 = 0

t² +13t -3t -39 = 0

( t + 13)( t -3) = 0

t = -13 , 3

but t > 0 therefore t = √Q

that is

t = √Q = 3

Q = 9

x + 4 = 9

x = 5