trist2003
contestada

Will give brainliest to whoever answers first and is right
What is the solution of V.x2+49 = x+5?
O X=
=
x=1
0 x 12
O x=-6 or x=-3
no solution

Will give brainliest to whoever answers first and is right What is the solution of Vx249 x5 O X x1 0 x 12 O x6 or x3 no solution class=

Respuesta :

wegnerkolmp2741o

Answer:

12/5

Step-by-step explanation:

sqrt( x^2+49) = x+5

Square each side

(sqrt( x^2+49))^2 = (x+5)^2

x^2+49 = (x+5)(x+5)

Foil the right side

x^2+49 = x^2 +5x+5x+25

Combine like terms

x^2+49 = x^2 +10x +25

Subtract x^2 from each side

49 = 10x+25

Subtract 25 from each side

49 -25 = 10x

24 = 10x

Divide by 10

24/10 = 10x/10

12/5 =x

Check since we squared, we need to check for extraneous solutions

sqrt( (12/5)^2+49) = 12/5+5

sqrt(144/25 +1225/25) = 12/5+25/5

sqrt(1369/25) = 37/5