9 of his buttons are not red. 1/8 of 72 is 9
72×1/8=8
72÷8=9
The frequency of the emitted radio waves is:

The energy of a photon is given by:

where h is the Planck constant and f is the photon frequency. Using the frequency given by the problem, we can find the energy of each photon of this radiation:
X² + 20x + 100 = 36⇒ x² + 20x + 100 - 36 = 0⇒ x² + 20x + 64 =0
Δ = b²-4ac = 20² -4·1·64 = 400-256 = 144
x₁= (-b+√Δ)/2a = (-20+√144)/2·1 = (-20+12)/2 = -8/2 = -4
x₂= (<span>-b-√Δ)/2a = (-20-√144)/2·1 = (-20-12)/2 = -32/2 = -16
x=-4 or x=-16</span>