Answer is
5 + √15 or 4.43649 decimal
2
and
5 - √15 or .56350 decimal
2
Step by step
Given 2x^2 -10x +5 = 0
Quadratic formula
-b +- √ b^2 - 4 a c
2a
- -10 +- √ -10^2 (-4)(2)(5)
2(2)
Simplify
10 +- √ 100 - 40
2(2)
10+- √ 60
2(2)
Factor out √60 = 2^2 * 3 * 5
Rewrite after moving 2 outside √
10 +- 2 √15
2(2)
Divide out one of the “2’s” with terms outside the √
5 +- √15
2
Solve
5 + √15
2
5 - √15
2