Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

But m > 0,

Hence, the value of m is 6.

Missing side is 15 in

area 150 in^2

Step-by-step explanation:

x = √ (25^2 - 20^2)

x = √ 625 - 400

x = √ 225

x = 15

area = bh/2

area = (20 * 15) /2

area = 300 / 2

area = 150