Solve the equation √(x+3) +4 = 5 Show each step of your solution process.

Question

Solve the equation
`√(x+3) +4 = 5` Show each step of your solution process.

Answer 1

x = -2 & -4

Explanation:

√(x + 3) + 4 = 5

√(x + 3) = 5 - 4

√(x + 3) = 1

[√(x + 3)]² = (1)²

x² + 9 + 6x = 1

x² + 9 - 1 + 6x = 0

x² + 8 + 6x = 0

x² + 6x + 8 = 0

x² + (4x + 2x) + 8 = 0

x² + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 4)(x + 2) = 0

x = -2 & -4

Hence,

Value of x is -2 & -4

Answer 2

-2

Explanation:

We start off by subtracting 4 on both sides giving us:

sqrt(x+3) = 5-4 = 1

So,

sqrt(x+3) = 1, and squaring both sides we get x+3 = 1

Therefore,

x = -2