What is the answer to sqrt(8x+17)=x+3 ?

The answer to sqrt(8x+17)=x+3 is x=4,x=-2

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sqrt(8x+17)=x+3

8 x + 17 = x + 3

x = 4, x = - 2

Solution steps

8 x + 17 = x + 3

Square both sides:

8 x + 17 = x^{2} + 6 x + 9

8 x + 17 = x^{2} + 6 x + 9

Solve

8 x + 17 = x^{2} + 6 x + 9 : x = 4, x = - 2

x = 4, x = - 2

Verify Solutions:

x = 4

True

, x = - 2

True

The solutions are

x = 4, x = - 2

b, x = \frac{- b + b ^{2} - 4 a c}{2 a}

x^{2} - 8 x + 3 x - 2 = 20 + 3 x - 2

3 x + 45 + 1 = 7

3 x + 1 + x + 2 = 3

What is the answer to sqrt(8x+17)=x+3 ?
The answer to sqrt(8x+17)=x+3 is x=4,x=-2
Solve for x: sqrt(8x+17)=x+3
The solution is x=4,x=-2