Answer: 1.78 and -1.78
Step-by-step explanation:
1. You have the following equation given in the problem above:
[tex]6x^{2}+1=20[/tex]
2. To solve it you must:
- Subtract 1 from both side of the equation:
[tex]6x^{2}+1-1=20-1[/tex]
[tex]6x^{2}=19[/tex]
- Divide both sides of the equation by 6, then:
[tex]\frac{6x^{2}}{6}=\frac{19}{6}\\\\x^{2}=\frac{19}{6}[/tex]
- Apply the square root at both sides of the equation:
[tex]\sqrt{x^{2} }=\sqrt{\frac{19}{6}}[/tex]
Then, the solution is:
[tex]x=1.78\\x=-1.78[/tex]
