Answer:
[tex]x=(+/-)\frac{\sqrt{10}}{4}[/tex]
Step-by-step explanation:
we have
[tex]8x^{2}-3=2[/tex]
adds 3 both sides
[tex]8x^{2}=2+3[/tex]
[tex]8x^{2}=5[/tex]
Divide by 8 both sides
[tex]x^{2}=5/8[/tex]
square root both sides
[tex]x=(+/-)\sqrt{\frac{5}{8}}\\ \\x=(+/-)\frac{\sqrt{5}}{2\sqrt{2}} \\ \\x=(+/-)\frac{\sqrt{10}}{4}[/tex]
