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 states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 2, b = 3, and c = 5. Plugging these values into the formula, we get:

x = (-3 ± sqrt(3^2 - 4(2)(5))) / 2(2)
x = (-3 ± sqrt(-31)) / 4

Since the radicand (-31) is negative, the solutions are not real. Therefore, the answer is D, no real solutions.

Solve the Equation by Using the Quadratic Formula