Question

What is 3/4(x2+4x+6)=13x-2

Answer 1

`x_1=12.65\\\\x_2=0.685`

Explanation:

`(3)/(4)(x^2+4x+6)=(13x-2)\\\\Multiply\ both\ sides\ by\ 4.\\\\3(x^2+4x+6)=4(13x-2)\\\\3x^2+12x+18=52x-8\\\\3x^2+12x+18-(52x-8)=0\\\\3x^2+12x-52x+18+8=0\\\\3x^2-40x+26=0`

Roots of Polynomial:

`Roots\ are\ polynomial\ ax^2+bx+c=0\\\\x=(-b\pm √((b^2-4ac)))/(2a)`

`Here\ a=3,\ b-40,\ c=26\\\\x=(-(-40)\pm √((-40)^2-4* 3* 26))/(2* 3)\\\\x=(40\pm√(1288))/(6)\\\\x_1=(40+√(1288))/(6)\approx 12.65\\\\x_2=(40-√(1288))/(6)\approx 0.685`