one of the factors of x square-36
Answers
The equation x2 - 36 = 0 is a pure quadratic equation, There are two numbers which, when substituted for x, will satisfy the equation as follows:
also Thus, +6 and - 6 are roots of the equation x2 - 36 = 0The most direct way to solve a pure quadratic (one in which no x term appears and the constant term is a perfect square) involves rewriting with the constant term in the right member, as follows:X2 = 36
Taking square roots on both sides, we have
x = ±6
The reason for expressing the solution as both plus and minus 6 is found in the fact that both +6 and -6, when squared, produce 36.
The equation x2 - 36 = 0can also be solved by factoring, as follows:We now have the product of two factors equal to zero. According to the zero factor law, if a product is zero, then one or more of its factors is zero. Therefore, at least one of the factors must be zero, and it makes no difference which one. We are free to set first one factor and then the other factor equal to zero. In so doing we derive two solutions or roots of the equation. If x + 6 is the factor whose value is 0, then we have
If x - 6 is the zero factor, we have x=6