Question

(х^2+3х)/2-(х-3х^2)/8=2х

Answer 1

(x^2+3x)/2 - (x-3x^2)/8=2x    l *8
4(x^2 +3x) -x +3x^2 = 16x
4x^2 +12x-x-16x + 3x^2 = 0
7x^2 - 5x = 0
x( 7x-5) = 0
x=0;    7x-5=0
           7x=5
            x=5/7
Ответ: 0 , 5/7

Answer 2

$\frac{ x^{2} +3x}{2} - \frac{x-3 x^{2} }{8} =2x \\ \frac{8(x^{2} +3x)-2(x-3 x^{2})}{16} =2x \\ \frac{8x^{2} +24x-2x+6 x^{2}}{16} =2x \\ 14 x^{2} +22x=32x \\ 7 x^{2} +11x-16x=0 \\ 7 x^{2} -5x=0 \\ D=b^2-4ac=(-5)^2-4*7*0=25 \\ x_1= \frac{5- \sqrt{25} }{2*7}=0 \\ x_2= \frac{5+ \sqrt{25} }{2*7}=0.7142857$