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$Solve by completing the square. s^(2)-16 s=37 Write your answers as integers, proper or improper fractions in simplest form, or decima rounded to the nearest hundredth. s= ◻ or s= ◻ Submit$

Solve by completing the square. $\newline$ $s^{2}-16 s=37$ $\newline$ Write your answers as integers, proper or improper fractions in simplest form, or decima rounded to the nearest hundredth. $\newline$ $s=$ $\newline$ $\square$ or $s=$ $\square$ $\newline$ Submit

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Solve a quadratic equation by completing the square

Full solution

Q. Solve by completing the square.

\newline

s^{2}-16 s=37

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decima rounded to the nearest hundredth.

\newline

s=

\newline

\square

or

s=

\square

\newline

Submit

Rewrite Equation: Step $1$ : Start by rewriting the equation to prepare for completing the square. $\newline$ $s^2 - 16s = 37$
Add Completing Square: Step $2$ : To complete the square, add $(\frac{b}{2})^2$ to both sides. Here, $b = -16$ , so $(\frac{-16}{2})^2 = 64$ . $\newline$ $s^2 - 16s + 64 = 37 + 64$ $\newline$ $s^2 - 16s + 64 = 101$
Factor Trinomial: Step $3$ : Factor the perfect square trinomial on the left side. $\newline$ $(s - 8)^2 = 101$
Take Square Root: Step $4$ : Take the square root of both sides, remembering to include both the positive and negative roots. $\newline$ $s - 8 = \pm\sqrt{101}$
Solve for s: Step $5$ : Solve for $s$ by adding $8$ to both sides. $\newline$ $s = 8 \pm \sqrt{101}$ $\newline$ $s \approx 8 + 10.05$ or $s \approx 8 - 10.05$ $\newline$ $s \approx 18.05$ or $s \approx -2.05$

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