Solve: 2x^2-28x+106=0

Use the quadratic formula to find the solutions.

-b±√b2-4 (ac) 2a-b±b2-4 (ac) 2a

subtite the values

a=2a=2,

b=-28b=-28, and

c=98c=98 into the quadratic formula and solve for

xx. 28±√ (-28) 2-4⋅ (2⋅98) 2⋅228± (-28) 2-4⋅ (2⋅98) 2⋅2Simplify.

Simplify the numerator.

x=28±02⋅2x=28±02⋅4 Multiply

22 by 22. x=28±04x=28±04 Simplify

28±0428±04. x=284x=284Divide 2828 by 44. x=7x=7

The final answer is the combination of both solutions.

x=7x=7 Double roots