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.

anonymous · Answer

Looking for a complete answer so i understand this thanks

jiteshmeghwal9 · Answer

$$x^2-9x+4$$

jiteshmeghwal9 · Answer

now use the quadratic formula$$-(-9) \pm \sqrt{(-9)^2-4(1)(4)}\over2(1)$$

jiteshmeghwal9 · Answer

becoz in the equation 
a=1
b=-9
c=4

jiteshmeghwal9 · Answer

$$9 \pm \sqrt{81-16}\over2$$

jiteshmeghwal9 · Answer

$$9 \pm \sqrt{65}\over2$$

jiteshmeghwal9 · Answer

$$9 \pm 8.06\over2$$

jiteshmeghwal9 · Answer

now make two roots one time add & one time subtract$$9+8.06\over2$$$$9-8.06\over2$$

jiteshmeghwal9 · Answer

x=8.53 or 0.47 :)
Understood??

anonymous · Answer

yes but i don't understand what makes this only solvable by the quadratic formula and not factoring.

jiteshmeghwal9 · Answer

try to break the middle term of L.H.S such that the product becomes 4x^2 & sum becomes -9x . & u can't do this thing hence it can't be factored

anonymous · Answer

can you explain what LHS means

precal · Answer

also 4 has 
1*4
2*2
as factors and 
you have to add them together to get 9
1+4=5 not 9
2+2=4 not 9
another reason why you have to use the quadratic formula

anonymous · Answer

thanks!

precal · Answer

anytime :)