Answer:
x=1.5
Step-by-step explanation:
[tex]-3x^2+2x+4=0[/tex]
Start with moving the constant to the right. [tex]-3x^2+2x=-4.[/tex]
Then divide both sides with -3. So the equation now is [tex]x^2-2/3x=4/3.[/tex]
Add (2/6^2) to both sides of the equation. [tex]x^2-2/3x+(2/6)^2=4/3+(2/6)^2.[/tex]
Using [tex]a^2-2ab+b^2[/tex][tex]=(a-b)^2[/tex] factor the expression.
Simplify [tex](x-2/6)^2=13/9[/tex]. Simplify further. [tex](x-1/3)^2=13/9[/tex].
Solve the equation for x. [tex]x=\frac{-\sqrt{13} +1}{3}[/tex], Next [tex]x=\frac{\sqrt{13} +1}{3}[/tex].
[tex]x_{2} =1.535...[/tex]
About x=1.5
I hope it helps!
