Question

If 98 x 102 = (100)^2 – x^2 . Find x.

Answer 1

$98 \times 102 = {100}^{2} - {x}^{2} \\ 9996 = {100}^{2} - {x}^{2} \\ \frac{9996}{10000} = {x}^{2} \\ x = \sqrt{ \frac{9996}{10000} } \\ x = \frac{99.98}{100} \\ x = 0.9998$

Answer 2

Answer:

Step-by-step explanation:

98 x 102= 9996

100^2= 10000

9996=10000-x^2

x^2=10000-9996

x^2=4

x=2