Find the value of the lesser root of x2 + 12x + 35 = 0.

In quadratic equations,

a + b = - B

ab = C

where a and b are the roots, B is the second term, and C is the constant.

Substituting,

a + b = - 12

ab = 35

The values of a and b from the equation is - 7 and - 5. Thus, the lesser root is - 7.