Question

I TRIED SO MANY THINGS AND I JUST DO NOT UNDERSTAND WHAT I AM DOING, CAN I PLEASE GET SOME HELP QUICK. ITS SOLVING ALL SOLUTIONS FOR X.

I included a image please someone help I need help with my homework.

Answer 1

`8. \: \: \: \: 2 {x}^(2) + 14 = 22 \\ \\ = > 2 {x}^(2) = 22 - 14 \\ \\ = > 2 {x}^(2) = 8 \\ \\ = > {x}^(2) = (8)/(2) \\ \\ = > {x}^(2) = 4 \\ \\ = > x = \underline{+}√(4) \\ \\ = > \green {\boxed{x = 2\: or \: (-2)}} \\ \\ \\ \\ \\ 9. \: \: \: \: 8 {x}^(2) + 19 = 54 + 3 {x}^(2) \\ \\ = > 8 {x}^(2) - 3 {x}^(2) = 54 - 19 \\ \\ = > 5 {x}^(2) = 35 \\ \\ = > {x}^(2) = (35)/(5) \\ \\ = > {x}^(2) = 7 \\ \\ = > x = \underline{ + } √(7) \\ \\ = > \green{\boxed{ x = √(7) \: or \: ( - √(7) )}}`
`\\\\\\\\10. \: \: \: 7 {x}^(2) + 12 = 51 - 4 {x}^(2) \\ \\ = > 7 {x}^(2) + 4 {x}^(2) = 51 - 12 \\ \\ = > 11 {x}^(2) = 39 \\ \\ = > {x}^(2) = (39)/(11) \\ \\ = > {x} = \underline{+ }\sqrt{ (39)/(11) } \\ \\ = > \green{\boxed{ x = \sqrt{ (39)/(11) } \: or \: (- \sqrt{ (39)/(11) } )}}`