Solve the equation. $$x = \sqrt { x ^ { 2 } - 3 x + 15 }$$

Name: Solve the equation. \[x = \sqrt { x ^ { 2 } - 3 x + 15 }\]
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Question

Quizplus · Accepted Answer

We will start by squaring both sides of the equation.
$$x^{2} = x^{2} - 3x + 15$$
We can simplify this to get
$$3x = 15$$
$$x = 5$$
Therefore, the solution is $x=5$. Option B is the correct choice. Note that we cannot choose option C as it includes $-25$, which does not satisfy the original equation.

Solve the Equation x=x2−3x+15x = \sqrt { x ^ { 2 } - 3 x + 15 }x=x2−3x+15​

Solve the Equation $x = \sqrt { x ^ { 2 } - 3 x + 15 }$