Question

-2x^2+6x+1=-3x^2 solve to the nearest tenth

Answer 1

Explanation:

The given equation is :

`-2x^2+6x+1=-3x^2`

Taking all the terms to one side of the equation i.e.

`-2x^2+6x+1+3x^2=0\\\\x^2+6x+1=0`

It is a quadratic equation of the form
`ax^2+bx+c=0` whose solution is given by :

`x=(-b\pm √(b^2-4ac))/(2a)`

Here, a = 1, b = 6 and c = 1

Put all the values,

`x=(-6\pm √(6^2-4(1)(1)))/(2(1))\\\\x=-0.171\ and\ x=-5.82`

Hence, this is the required solution.