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√2x-3-√x+7= -2
(√2x-3-√x+7)²= (-2)²
2x-3 - 2√2x-3√x+7 + x+7 = 4
3x +4 = 2√2x-3√x+7 + 4
3x/2 = √(2x-3)(x+7)
(3x/2) ² = (√(2x-3)(x+7))²
9x²/4 = (2x-3)(x+7)
9x²/4= 2x² + 14x -3x -21
9x² = 8x² + 44x - 84
x² -44x +84 = 0
(x-42)(x-2) = 0
x= 42 X x=2(CORRECTO )
X= 2
2)
2+ ∛1-5x = 0
(∛1-5x)³ = (-2)³
1-5x = -8
9 = 5x
9/5 = x
3)
∛6-x² + 5 = 0
∛6-x² =- 5
(∛6-x²)³ =(- 5)³
6-x² = -125
131 = x²
x= √131 x= -√131
4)
⁵√2x² +1= 2
(⁵√2x² +1)⁵= (2)⁵
2x² +1 = 32
2x² = 31
x² = 31/2
x= √31/2 o x= -√31/2