Solve the quadratic equation: 3x2 − 2x − 8 = 0
A.4/3,2
B.-4/3,3
C. -2/3,4
D. -4/3,2
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OpenStudy (e.cociuba):
Do u mean:
3x^2 − 2x − 8 = 0 ??
OpenStudy (anonymous):
ya
OpenStudy (e.cociuba):
(3x + 4) (x - 2) = 0
x = -4/3
x = 2
So, your answers gunna be D
OpenStudy (e.cociuba):
Do u want me to explain?
OpenStudy (anonymous):
yes plz
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OpenStudy (e.cociuba):
So basically u want to factor the problem out to get to this: (3x + 4) (x - 2) = 0
Do u know how to factor?
OpenStudy (anonymous):
no i do not know how to factor thing really good
OpenStudy (e.cociuba):
In order to factor 3x^2 − 2x − 8 = 0, first multiply the leading coefficient 3 and the last term -8 to get -24.
OpenStudy (e.cociuba):
So here comes the factoring part:
What two numbers multiply to -24 and add to -2?
OpenStudy (e.cociuba):
So the answers gunna be 4 and -6.
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OpenStudy (e.cociuba):
Do u have any questions so far?
OpenStudy (anonymous):
no
OpenStudy (e.cociuba):
Ok so..the original quadratic 3x^2 − 2x − 8, breaks down to this (just replace -2x with the two numbers that multiply to -24 and add to -2, which are: 4 and -6):
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