Solve the equation by using the quadratic formula. Give real solutions only.
D) no real solutions

Question

Solve the equation by using the quadratic formula. Give real solutions only. ​  ​
D) no real solutions

Quizplus · Accepted Answer

The quadratic formula is $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$. In the given equation, $a = 7, b = -6,$ and $c = 14$. When we substitute these values into the formula, we get $x=\frac{6\pm\sqrt{(-6)^2-4(7)(14)}}{2(7)}=\frac{6\pm i\sqrt{92}}{14}$, which has imaginary solutions. Therefore, there are no real solutions to the equation. Therefore, the best answer choice is D.

Solve the Equation by Using the Quadratic Formula