To factor the left hand side of the equation, we can use the quadratic formula or try to find two numbers whose sum is -18 and whose product is 81. In this case, because the coefficient of x^2 is 1, and the constant term is perfect square, it is possible to find the factors by inspection.
The factors of 81 are ±1, ±3, ±9, ±27, ±81. We need to find two numbers whose sum is -18, so we can use -9 and -9.
Therefore, the factored form of the left hand side of the equation is (x - 9)(x - 9).
Consider the following quadratic equation:
x^2−18x+81=0
Step 1 of 2: Using the standard form ax^2+bx+c=0
of the given quadratic equation, factor the left hand side of the equation into two linear factors.
1 answer