1) (1-2x)²+120 = (2x+3)²
1-4x+4x²+120 = 4x²+12x+9
4x²+12x+9 -(1-4x+4x²+120) = 0
16x-112 = 016x = 112x = 7 2) (5x+3)²*25 = (x-1)²(25x²+30x+9)*25 = x²-2x+1
625x²+750x+225-(x²-2x+1) = 0624x²+752x+224 = 0|:16
39x²+47x+14 = 0
D = 47²-4*39*14 = 2209-2184 = 25 = 5²
x₁₂ = (-47±5)/(2*39)
x₁ = -7/13 ; x₂ = -2/3
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Answers & Comments
1) (1-2x)²+120 = (2x+3)²
1-4x+4x²+120 = 4x²+12x+9
4x²+12x+9 -(1-4x+4x²+120) = 0
16x-112 = 0
16x = 112
x = 7
2) (5x+3)²*25 = (x-1)²
(25x²+30x+9)*25 = x²-2x+1
625x²+750x+225-(x²-2x+1) = 0
624x²+752x+224 = 0|:16
39x²+47x+14 = 0
D = 47²-4*39*14 = 2209-2184 = 25 = 5²
x₁₂ = (-47±5)/(2*39)
x₁ = -7/13 ; x₂ = -2/3