Question

(Quadratic Formula) (Irrational level 1)

Solve the equation for all real solutions in simplest form.

9v^2+11v+5=4v^2

Answer 1

(-11 +/- sqrt 21) / 10

or

-0.64 , -1.56 to the nearest hundredth.

Explanation:

9v^2 + 11v + 5 = 4v^2

5v^2 + 11v + 5 = 0

Using the quadratic formula:

v = [ - 11 +/- sqrt(11^2 - 4*5*5) ] / 2*5

= (-11 +/- sqrt 21) / 10

= -0.64 , -1.56 to the nearest hundredth.