Question

resolva a equação na variavel x,5 elevado a x ao quadrado -2x = 125.

Answer 1

5^x²-2x = 125
5^x²-2x = 5^3
x²-2x = 3
x² -2x - 3 = 0
∆= b² -4ac = 4 +12= 16 ===> √∆=4
x = -b±√∆/2a
x = 2±4/2
x' = 2+4/2 = 6/2 = 3 ✓
x" = 2-4/2 = -2/2 = -1 ✓