Answer:
The solutions are [tex]1.94[/tex] and [tex]-1.94[/tex]
Step-by-step explanation:
we have
[tex]8x^{2} +5=35[/tex]
Solve for x
Subtract [tex]5[/tex] both sides
[tex]8x^{2} +5-5=35-5[/tex]
[tex]8x^{2}=30[/tex]
Divide by [tex]8[/tex] both sides
[tex]8x^{2}/8=30/8[/tex]
[tex]x^{2}=15/4[/tex]
Take square root both sides
[tex]x=(+/-)\sqrt{\frac{15}{4}} \\ \\x1=\frac{\sqrt{15}}{2}=1.94\\ \\x2=-\frac{\sqrt{15}}{2}=-1.94[/tex]
The solutions are [tex]1.94[/tex] and [tex]-1.94[/tex]
