Question

Solve the quadratic equation 36x² – 169 = 0.

Answer 1

6x² – 169 = 0.

36x²-169 is the remarkable identity a²-ba

we factorize:

(6x-13)(6x+13)

we solve (6x-13)(6x+13)=0

6x-13=0⇔6x=13⇔x=13/6

6x+13=0⇔6x=-13⇔x=-13/6

solution (13/6;-13/6)