Final answer:
The roots of the equation 49x²+49=98x are x = -1 and x = 1.
Step-by-step explanation:
The given equation is 49x²+49=98x. To solve for the roots of this equation, we can rearrange it to the quadratic form ax²+bx+c=0, where a=49, b=-98, and c=-49. Now, we can use the quadratic formula x = (-b ± √(b^2 - 4ac)) / (2a) to find the roots. Plugging in the values, we get:
x = (-(-98) ± √((-98)^2 - 4(49)(-49))) / (2(49))
Simplifying further, we have:
x = (98 ± √(9604 + 9604)) / 98
x = (98 ± √(19208)) / 98
x = (98 ± 138.6) / 98
Therefore, the roots of the equation are x = -1 and x = 1. The answer is option a.