What is the answer to sqrt(7x+8)=x+2 ?

The answer to sqrt(7x+8)=x+2 is x=4,x=-1

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sqrt(7x+8)=x+2

7 x + 8 = x + 2

x = 4, x = - 1

Solution steps

7 x + 8 = x + 2

Square both sides:

7 x + 8 = x^{2} + 4 x + 4

7 x + 8 = x^{2} + 4 x + 4

Solve

7 x + 8 = x^{2} + 4 x + 4 : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions:

x = 4

True

, x = - 1

True

The solutions are

x = 4, x = - 1

x - 5 + 1 = x

7 x - 5 = 3 x

10 x^{2} + 16 x = 5 x + 8

x^{2} + 5 + x - 3 = 0

x - 5 = 12 x + 25