Question

Solve for v.2v²=-5v-2If there is more than one solution, separate them with commas.If there is no solution, click on "No solution."

Answer 1

EXPLANATION :

From the problem, we have the equation :

`2v^2=-5v-2`

Rewrite in the form av^2 + bv + c = 0

`\begin{gathered} 2v^2=-5v-2 \\ 2v^2+5v+2=0 \end{gathered}`

Using quadratic formula with a = 2, b = 5, and c = 2

`\begin{gathered} v=(-b\pm√(b^2-4ac))/(2a) \\ \\ v=(-5\pm√(5^2-4(2)(2)))/(2(2)) \\ \\ v=(-5\pm√(9))/(4) \\ \\ v=(-5\pm3)/(4) \\ \\ v=(-5+3)/(4)=-(1)/(2) \\ \\ v=(-5-3)/(4)=-2 \end{gathered}`

ANSWER :

The solutions are v = -2 and -1/2