What is the answer to sqrt(3m^2+24)=2m+2 ?

The answer to sqrt(3m^2+24)=2m+2 is m=2

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sqrt(3m^2+24)=2m+2

3 m^{2} + 24 = 2 m + 2

m = 2

Solution steps

3 m^{2} + 24 = 2 m + 2

Square both sides:

3 m^{2} + 24 = 4 m^{2} + 8 m + 4

3 m^{2} + 24 = 4 m^{2} + 8 m + 4

Solve

3 m^{2} + 24 = 4 m^{2} + 8 m + 4 : m = 2, m = - 10

m = 2, m = - 10

Verify Solutions:

m = 2

True

, m = - 10

False

The solution is

m = 2

x (x - 5 x + 6) = 0

x = 2 + x

2 x + 3 = x + 3

x + 6 = 3

x = 2 - x

What is the answer to sqrt(3m^2+24)=2m+2 ?
The answer to sqrt(3m^2+24)=2m+2 is m=2
Solve for m: sqrt(3m^2+24)=2m+2
The solution is m=2