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Use the quadratic formula to solve x - 5x+3 = 0.

Use the quadratic formula to solve x - 5x+3 = 0.-example-1

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2 votes

Answer:

(D)
\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}

Explanation:

The quadratic formula is:


\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}

Assuming that a is our x² term, b is our x term, and c is the constant, we can substitute inside the equation.


\begin{array}{*{20}c} {\frac{{ - (-5) \pm \sqrt {5^2 - 4\cdot1\cdot3} }}{{2\cdot1}}} \end{array}


\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 12} }}{{2}}} \end{array}


\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}

So the answer is D,
\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}.

Hope this helped!

User Roundcrisis
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