Solve.
-$$5 r ^ { 2 } + 24 r = - 17$$
A) $\frac { - 12 \pm \sqrt { 59 } } { 10 }$
B) $\frac { - 12 \pm \sqrt { 229 } } { 5 }$
C) $\frac { - 24 \pm \sqrt { 59 } } { 5 }$
D) $\frac { - 12 \pm \sqrt { 59 } } { 5 }$

Question

Quizplus · Accepted Answer

The quadratic equation can be solved using the quadratic formula $ r = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $. Here, $ a = 5 $, $ b = 24 $, and $ c = 17 $. Plugging these into the formula gives the solution $ r = \frac{-24 \pm \sqrt{24^2 - 4 \times 5 \times 17}}{2 \times 5} = \frac{-24 \pm \sqrt{576 - 340}}{10} = \frac{-24 \pm \sqrt{236}}{10} = \frac{-12 \pm \sqrt{59}}{5} $.

Solve - 5r2+24r=−175 r ^ { 2 } + 24 r = - 175r2+24r=−17

Solve
- $5 r ^ { 2 } + 24 r = - 17$