Question

Solve. Check for extraneous solutions. (2 x+3)¹/₂-7=0

Answer 1

No extraneous solution to the equation.

The equation is

$(2x + 3)^{1/2}$ - 7 = 0

To find whether the equation has an extraneous solution, first we have to find the value of x.

$(2x + 3)^{1/2}$ = 7

Squaring both sides, we get

2x + 3 = 49

2x = 46

x = 23

Now put the value of x in the equation,

$(2 * 23 + 3)^{1/2}$ - 7 = 0

$(46 + 3)^{1/2}$ - 7 = 0

$49^{1/2}$ - 7 = 0

7 - 7 = 0

0=0

Therefore we get that there is no extraneous solution to the equation, x= 23 is the solution of the equation.

To know more about the extraneous solution to refer the link given below:

brainly.com/question/12361474

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