Solve the following equation using the quadratic formula:

1st attempt
See Periodic Table

Express values to a minimum of two significant figures.

The obtained from the “plus” operation = The obtained from the “minus” operation=

Ask by Martin O'Quinn. in the United States

Jan 24,2025

Question

Solve the following equation using the quadratic formula:

1st attempt
See Periodic Table

Express values to a minimum of two significant figures.

The obtained from the “plus” operation = The obtained from the “minus” operation=

Ask by Martin O'Quinn. in the United States

Jan 24,2025

UpStudy AI · Accepted Answer

To solve the quadratic equation using the quadratic formula, follow these steps:

$$
0 = 5x^{2} - 2x - 22
$$

The quadratic formula is:

$$
x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}
$$

**Step 1: Identify the coefficients**

$$
a = 5, \quad b = -2, \quad c = -22
$$

**Step 2: Substitute the coefficients into the quadratic formula**

$$
x = \frac{-(-2) \pm \sqrt{(-2)^{2} - 4 \cdot 5 \cdot (-22)}}{2 \cdot 5}
$$

$$
x = \frac{2 \pm \sqrt{4 + 440}}{10}
$$

$$
x = \frac{2 \pm \sqrt{444}}{10}
$$

**Step 3: Calculate the square root**

$$
\sqrt{444} \approx 21.07
$$

**Step 4: Solve for the two possible values of $$ x $$**

1. **Using the "plus" operation:**
   
   $$
   x = \frac{2 + 21.07}{10} = \frac{23.07}{10} \approx 2.31
   $$
   
2. **Using the "minus" operation:**
   
   $$
   x = \frac{2 - 21.07}{10} = \frac{-19.07}{10} \approx -1.91
   $$

**Step 5: Round to a minimum of two significant figures**

- The $$ x $$ obtained from the "plus" operation = $$ \boxed{2.3} $$
- The $$ x $$ obtained from the "minus" operation = $$ \boxed{-1.9} $$
The $$ x $$ values are approximately 2.3 and -1.9.

Solve the following equation using the quadratic formula:

1st attempt
See Periodic Table

Express values to a minimum of two significant figures.

The obtained from the “plus” operation = The obtained from the “minus” operation=

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Solución

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Solve the following equation using the quadratic formula: 1st attempt See Periodic Table Express values to a minimum of two significant figures. The obtained from the “plus” operation = The obtained from the “minus” operation=

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Solución

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Solve the following equation using the quadratic formula:

1st attempt
See Periodic Table

Express values to a minimum of two significant figures.

The obtained from the “plus” operation = The obtained from the “minus” operation=