The equation (y + 13) (y + a) = 0 has no linear terms. Find the value of a?
The equation (y + 13) (y + a) = 0 has no linear terms. Find the value of a?
Explanation
The equation is:
(y + 13)(y + a) = 0
Expanding it:
y^2 + ay + 13y + 13a = 0
y^2 + (a + 13)y + 13a = 0
For no linear term, the coefficient of y should be 0:
a + 13 = 0
a = -13