Question 18 Find all real solutions of the equation by completing the square \( x^{2}-12 x+30=30 \) \( x_{1}=\square \) and \( x_{2}=\square \) with \( x_{1}

Ask by Reese Coles. in the United States

Feb 27,2025

Solve the equation \( x^{2}-12x+30=30 \). Solve the quadratic equation by following steps: - step0: Solve by factoring: \(x^{2}-12x+30=30\) - step1: Move the expression to the left side: \(x^{2}-12x=0\) - step2: Factor the expression: \(x\left(x-12\right)=0\) - step3: Separate into possible cases: \(\begin{align}&x-12=0\\&x=0\end{align}\) - step4: Solve the equation: \(\begin{align}&x=12\\&x=0\end{align}\) - step5: Rewrite: \(x_{1}=0,x_{2}=12\) The real solutions of the equation \(x^{2}-12x+30=30\) are \(x_{1}=0\) and \(x_{2}=12\), with \(x_{1}