Question

√25ײ-30×+9=√9ײ+24×+16

Answer 1

√( 25x² - 30 x + 9 ) = √(9x²+24x +16 )

√(5x-3)² = √(3x+4)²

5 x - 3 = 3 x + 4

5 x - 3 x = 4 + 3

2 x = 7 ⇒ x = 7 / 2 ⇒  x = 3,5

Answer 2

5x²-30x+9 = 3x²+24x+16 5x²-30x+9-3x²-24x-16 = 0 2x²-54x-7 = 0 a = 2, b= -54, c=-7 Delta = b²-4ac = 2916-4*2*(-7) = 2916 + 56 = 2972 x1 = (-b + √delta)/2a = (54 + 2√743)/4 = 2(27+√743)/4 = (27+√743)/2 x2 = (-b - √delta)/2a = (27-√743)/2