2*√(x+3) - √(2*x+7) = √x
2*√(x+3) = √(2*x+7) + √x
4*(x+3) = (2x + 7) + 2√(x*(2x + 7)) +x
4x + 12 = 3x + 7 + 2√(x*(2x + 7))
x + 5 = 2√(x*(2x + 7))
x² + 10x + 25 = 4* (2x² + 7x)
7x² + 18x - 25 =0
D = 324 - 4*7*(-25) = 1024
x1 = (-18-32) / 14 = -25 / 7 (посторонний корень)
x2 = (-18+32) / 14 = 1
2*√(x+3) - √(2*x+7) = √x
2*√(x+3) = √(2*x+7) + √x
4*(x+3) = (2x + 7) + 2√(x*(2x + 7)) +x
4x + 12 = 3x + 7 + 2√(x*(2x + 7))
x + 5 = 2√(x*(2x + 7))
x² + 10x + 25 = 4* (2x² + 7x)
7x² + 18x - 25 =0
D = 324 - 4*7*(-25) = 1024
x1 = (-18-32) / 14 = -25 / 7 (посторонний корень)
x2 = (-18+32) / 14 = 1