Pleasee can someone help me out with this and show work

Answer:
x=4
Step-by-step explanation:
[tex]2 {x}^{2} = 15 + 17 \\ 2 {x}^{2} = 32 \\ \frac{2 {x}^{2} }{2} = \frac{32}{2} \\ {x}^{2} = 16 \\ \sqrt{ {x}^{2} } = \sqrt{16} \\ x = 4[/tex]
Answer:
x= 4
Step 1- Add to both sides
2x^2-17=15
+17 +17
Step 2- Divide to both sides
2÷2x^2=32÷2
x^2=16
Step 3- Find the square root
√x=√16
Conclusion- x=4