Question

Which expression is equivalent to (5x + 2) + ( 4x - 3)?

Answer 1

Which value of x is a solution to x^2 = 256?

Answer 2

To simplify the expression \((5x + 2) + (4x - 3)\), we can combine like terms.

1. Start by removing the parentheses:
\[
5x + 2 + 4x - 3
\]

2. Next, combine the \(x\) terms:
\[
5x + 4x = 9x
\]

3. Now, combine the constant terms:
\[
2 - 3 = -1
\]

4. Put it all together:
\[
9x - 1
\]

So, the expression equivalent to \((5x + 2) + (4x - 3)\) is \(\boxed{9x - 1}\).

Answer 3

To solve the equation \(x^2 = 256\), we need to take the square root of both sides. Remember that taking the square root can yield both positive and negative solutions.

1. Taking the square root, we get:
\[
x = \sqrt{256} \quad \text{or} \quad x = -\sqrt{256}
\]

2. Calculate \(\sqrt{256}\):
\[
\sqrt{256} = 16
\]

So the two solutions are:
\[
x = 16 \quad \text{and} \quad x = -16
\]

Thus, the values of \(x\) that are solutions to the equation \(x^2 = 256\) are \(16\) and \(-16\).