Solve the quadratic equation by completi

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Ask by Carter Hilton. in the United States

Dec 09,2024

Question

Solve the quadratic equation by completi

First, choose the appropriate form and fill
numbers.
Then, solve the equation. Simplify your a
If there is more than one solution, separa

Ask by Carter Hilton. in the United States

Dec 09,2024

UpStudy AI · Accepted Answer

Solve the equation $$ x^{2}-2x-12=0 $$.
Solve the quadratic equation by following steps:
- step0: Solve using the quadratic formula:
  $$x^{2}-2x-12=0$$
- step1: Solve using the quadratic formula:
  $$x=\frac{2\pm \sqrt{\left(-2ight)^{2}-4\left(-12ight)}}{2}$$
- step2: Simplify the expression:
  $$x=\frac{2\pm \sqrt{52}}{2}$$
- step3: Simplify the expression:
  $$x=\frac{2\pm 2\sqrt{13}}{2}$$
- step4: Separate into possible cases:
  $$\begin{align}&x=\frac{2+2\sqrt{13}}{2}\&x=\frac{2-2\sqrt{13}}{2}\end{align}$$
- step5: Simplify the expression:
  $$\begin{align}&x=1+\sqrt{13}\&x=\frac{2-2\sqrt{13}}{2}\end{align}$$
- step6: Simplify the expression:
  $$\begin{align}&x=1+\sqrt{13}\&x=1-\sqrt{13}\end{align}$$
- step7: Rewrite:
  $$x_{1}=1-\sqrt{13},x_{2}=1+\sqrt{13}$$
The solutions to the quadratic equation $$x^{2}-2x-12=0$$ by completing the square are $$x_{1}=1-\sqrt{13}$$ and $$x_{2}=1+\sqrt{13}$$.
The solutions are $$x_{1}=1-\sqrt{13}$$ and $$x_{2}=1+\sqrt{13}$$.

Solve the quadratic equation by completi

First, choose the appropriate form and fill
numbers.
Then, solve the equation. Simplify your a
If there is more than one solution, separa

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Solve the quadratic equation by completi First, choose the appropriate form and fill numbers. Then, solve the equation. Simplify your a If there is more than one solution, separa

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Then, solve the equation. Simplify your a
If there is more than one solution, separa