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
