Question

Ginger was asked to solve 25x2−196=0
by factoring using the difference of squares pattern. What is/are the correct solution(s)?(1 point)
Responses

x=−145
, x=145
x equals negative Start Fraction 14 over 5 End Fraction , x equals Start Fraction 14 over 5 End Fraction

x=19625
x equals Start Fraction 196 over 25 End Fraction

x=145
x equals Start Fraction 14 over 5 End Fraction

There is no solution for x because the difference of squares pattern does not apply.

Answer 1

25x^2 − 196 = (5x)^2 − 14^2 = (5x − 14)(5x + 14) = 0, so 5x − 14 = 0 or 5x + 14 = 0. Thus x = 14/5 or x = −14/5.