What is the answer to sqrt(x^2+x+4)=4 ?

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

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sqrt(x^2+x+4)=4

x^{2} + x + 4 = 4

x = 3, x = - 4

Solution steps

x^{2} + x + 4 = 4

Square both sides:

x^{2} + x + 4 = 16

x^{2} + x + 4 = 16

Solve

x^{2} + x + 4 = 16 : x = 3, x = - 4

x = 3, x = - 4

Verify Solutions:

x = 3

True

, x = - 4

True

The solutions are

x = 3, x = - 4

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x + 18 + 16 = 19

- 12 = - x + 2 x + 24

x^{2} - 3 x + 2 + x^{3} - x - 6 = 0

30 - 3 x - 9 = 0

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