solve the following equation for all solutions of x
25x^2-36=0
a. x=5/6,56
b. x=-6/5,6/5
c. x=0,6/5
d. x=-6/5
To solve the equation 25x^2 - 36 = 0, we first need to factor the expression.
25x^2 - 36 = 0
(5x)^2 - 6^2 = 0
(5x - 6)(5x + 6) = 0
Now, we can set each factor equal to zero and solve for x:
5x - 6 = 0
5x = 6
x = 6/5
5x + 6 = 0
5x = -6
x = -6/5
Therefore, the solutions to the equation 25x^2 - 36 = 0 are x = 6/5 and x = -6/5.
So, the correct answer is b. x = -6/5, 6/5.