Question
Solve the following quadratic equation using a graphing calculator or Desmos.com . Round your answers to the nearest tenth. If there are no real solutions then write No Real Solutions for your answer. -3x^(2)-11 x+25=0
Solution
4.5
(380 Votes)
Avery
Elite ยท Tutor for 8 years
Answer
\( x = \frac{1}{6} (-11 - \sqrt{421}) \) , \( x = \frac{1}{6} (\sqrt{421} - 11) \)
Explanation
1. The given equation is a quadratic equation of the form
.2. The quadratic formula to solve for
is given by:
3. Substituting the values
,
, and
into the formula, we get:
4. These are the two real solutions to the given quadratic equation.