Calculate the two possible values of $$ x $$ in the following equation: $$ 4\left(9+5 x^{2}\right)=356 $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
4\left(9 + 5x^{2}\right) = 356
$$

follow these steps to find the possible values of $$ x $$:

### Step 1: Divide Both Sides by 4

Start by isolating the expression inside the parentheses:

$$
9 + 5x^{2} = \frac{356}{4}
$$

$$
9 + 5x^{2} = 89
$$

### Step 2: Subtract 9 from Both Sides

$$
5x^{2} = 89 - 9
$$

$$
5x^{2} = 80
$$

### Step 3: Divide Both Sides by 5

$$
x^{2} = \frac{80}{5}
$$

$$
x^{2} = 16
$$

### Step 4: Take the Square Root of Both Sides

$$
x = \sqrt{16} \quad \text{or} \quad x = -\sqrt{16}
$$

$$
x = 4 \quad \text{or} \quad x = -4
$$

### Conclusion

The two possible values of $$ x $$ that satisfy the equation are:

$$
x = 4 \quad \text{and} \quad x = -4
$$
The two possible values of $$ x $$ are 4 and -4.

Calculate the two possible values of \( x \) in the following equation: \[ 4\left(9+5 x^{2}\right)=356 \]