Wanni cycled 6 km from her house to the school at a uniform speed, v km/h. if she increased her speed
by 2 km/h, she would arrive at the school 4 minutes earlier. form a quadratic equation in term of v.

The quadratic equation in terms of v is   v² + 2 v + 180 = 0

Step-by-step explanation:

Given as :

The distance between house to the school = d = 6 km

The uniform speed = v km/h

So, Time =

or, t =

Or, t =

Now, Again

The speed is increase by 2 km/h

i.e speed = (v + 2) km/h

So, Time taken = t' = (t - )hours

i.e t' =  (t - )hours

Now, Time =

So, (t - ) =

Or,  (t - ) =

Or , -   =

Or , =

Or, (90 - v) × (v + 2) = 6 × 15 v

Or, 90 v - 180 - v² - 2 v = 90 v

Or,  v² + 2 v + 180 = 90 v - 90 v

Or,  v² + 2 v + 180 = 0

So, The quadratic equation in terms of v

v² + 2 v + 180 = 0

Hence The quadratic equation in terms of v is   v² + 2 v + 180 = 0   Answer

answer: do we write it

step-by-step explanation: