Q13. - Algebra 1

Question

Translate each equation into a sentence.

$h^2-5h+6=0$

Step-by-Step Solution

Answer

The required sentence is:

The number $\mathit{h}$ squared minus five times of $\mathit{h}$ in addition with the 6 is equal to the zero.

Step 1. Apply the concept of raising variable to an index.

When a variable is multiplied by itself we raise the index/exponent of the variable by two, when it is multiplied once more to this product we raise the index to three. 

In this fashion variables are written, for example,

$\begin{array}{l}x\times x=x^2\\ x\times x\times x=x^3\end{array}$

Thus $h^2$ is $h$ raised to the second power. 

Step 2. Apply the concept of multiplication of a constant and a variable.

When a constant is multiplied by a variable we just append the constant in front of the variable.

We are given the expression $h^2-5h+6=0$, so in the middle term, variable $h$ is being multiplied by $-5$. 

Step 3. Apply the concept of sum for unlike terms.

Like terms are the terms having the same variables and being raised to the same index. A coefficient is the appended number in front of the variable; if no number is shown then we assume it to be 1.

For example $4x$ and $5x$ are like terms.

Unlike terms are the terms not having the same variables and or are raised to a different index.

For example, 4 and $5x$ are unlike terms.

We can add like terms by adding their coefficients, we cannot add the unlike terms.

Now, we are given the expression $h^2-5h+6=0$, so $h^2$ and $-5h$ is being added with 6.

Step 4. Evaluate the results.

Now, it is given that the expression $h^2-5h+6=0$, is equal to 0.

Thus, the required sentence is:

The number $h$ squared minus five times of $h$ in addition with the 6 is equal to the zero.