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find sum of the roots
full questions is up there in the photo attached
helppp plz :(​

Find Sum Of The Roots Full Questions Is Up There In The Photo Attached Helppp Plz class=

Sagot :

cairde

Answer:

C. -4/3

Step-by-step explanation:

Start by finding the roots of the equation by factorising.

3x³+4x²-4x=0

x(3x²+4x-4)=0

x(3x-2)(x+2)=0    [because (ax+b)(cx+d)=(ac)x²+(ad+bc)x+(bd)]

If multiplying these three terms works out to be zero, we know that one of the terms must be zero, as anything multiplied by zero is zero.

So

x=0, or 3x-2=0, or x+2=0

Which means our roots are

x=0, x=2/3, x=-2

Now find the sum of these roots: 0+(2/3)-2=(2/3)-(6/3)=-4/3

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