Solve sqrt(x-3)+sqrt(3-x)+4

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Example problems

Type your math problem... sqrt(x-3)+sqrt(3-x)+4

Question

Find the roots

x \in / R

Evaluate

x - 3 + 3 - x + 4

To find the roots of the expression,set the expression equal to 0

x - 3 + 3 - x + 4 = 0

Find the domain

More Steps

Evaluate

{x - 3 \geq 0 3 - x \geq 0

Calculate

More Steps

Evaluate

x - 3 \geq 0

Move the constant to the right side

x \geq 0 + 3

Removing 0 doesn't change the value,so remove it from the expression

x \geq 3

{x \geq 3 3 - x \geq 0

Calculate

More Steps

Evaluate

3 - x \geq 0

Move the constant to the right side

- x \geq 0 - 3

Removing 0 doesn't change the value,so remove it from the expression

- x \geq - 3

Change the signs on both sides of the inequality and flip the inequality sign

x \leq 3

{x \geq 3 x \leq 3

Find the intersection

x = 3

x - 3 + 3 - x + 4 = 0, x = 3

Calculate

x - 3 + 3 - x + 4 = 0

Solution

x \in / R

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