Question

Part 1: Create your own quadratic equation that cannot be solved by factoring, but can be solved using the quadratic formula. Identify the values of a, b, and c, and find the solutions using the quadratic formula. Show all work to receive credit.

Part 2: Using complete sentences, explain how you know that the equation from Part 1 cannot be solved by factoring, but can be solved by using the quadratic formula.

Answer 1

x^2 - 2x - 7 = 0 cannot be factoriesed
a=1, b = -2 and c = -7
this cannot be factored since you need two integers whose product is -7 and whose sum is -2. this is not possible.