Algebra Examples

$x^{2} + \frac{7}{5} x$

Step 1

Combine $\frac{7}{5}$ and $x$ .

$x^{2} + \frac{7 x}{5}$

Step 2

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $x$ by $2$ and square the result.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

${(\frac{7}{5} \cdot \frac{1}{2})}^{2}$

Step 2.2

Multiply $\frac{7}{5} \cdot \frac{1}{2}$ .

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Step 2.2.1

Multiply $\frac{7}{5}$ by $\frac{1}{2}$ .

${(\frac{7}{5 \cdot 2})}^{2}$

Step 2.2.2

Multiply $5$ by $2$ .

${(\frac{7}{10})}^{2}$

Step 2.3

Apply the product rule to $\frac{7}{10}$ .

$\frac{7^{2}}{10^{2}}$

Step 2.4

Raise $7$ to the power of $2$ .

$\frac{49}{10^{2}}$

Step 2.5

Raise $10$ to the power of $2$ .

$\frac{49}{100}$

Step 3

Add $\frac{49}{100}$ to get the perfect square trinomial.

$x^{2} + \frac{7}{5} x + \frac{49}{100}$