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.

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.

campbell_st · Answer

its as simple as 

$$x^2 + x + 1 = 0$$

the general form of a quadratic is 

$$ax^2 + bx + c = 0$$

match the coefficients

jenniferjuice · Answer

so a,b,and c would all be one?

jenniferjuice · Answer

like this?
 1x^2+1x+1
a=1
b=1
c=1

campbell_st · Answer

yep thats it

campbell_st · Answer

the equation has complex solutions.... 

and the discriminant is used to determine the types of solutions

$$\Delta = b^2 - 4ac$$

jenniferjuice · Answer

wait but would i solve the question using that?

campbell_st · Answer

do you know the general quadratic formula...?

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

you know a, b and c so substitute and solve

jenniferjuice · Answer

okay ,yes i know it

jenniferjuice · Answer

would i get x=1.581 ?