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