Trail and improvement

Question

I have to find x to 1 decimal place in the equation:
2x^2 +6 = 103

I have done trail and improvement and have concluded that 7 is to big and 6.9 is to small.

6.95 gives the answers 102.605 and therefore too small. would it be 7.0 or 6.9?

Answer 1

use 6.964194139 and round accordingly

6.96 gives 102.8832

6.964 gives102.99459

6.9642 gives 103.00001633

6.9641 gives102.997377