PERFECT SQUARES 1

If 16x² + 40x + m is a perfect square, find m.

Solution

a = 16, b = 40, c = m.

b² = 4ac

(40)² = 4 x 16 x m

1600 = 64m

1600  =    64m

64          64

           

m = 25

Hence m = 25

TRY THIS................................

If 16x² + 24x + Q is a perfect square, find Q.