Factoring the quadratic equation \(\displaystyle{3}{x}^{{{2}}}-{23}{x}+{14}={0}\)

Jackson Floyd

Jackson Floyd

Answered question

2022-04-02

Factoring the quadratic equation
3x223x+14=0

Answer & Explanation

clarkchica44klt

clarkchica44klt

Beginner2022-04-03Added 17 answers

Step 1
Alternatively, using the AC method, three times the equation is:
9x269x+42=0
(3x)223(3x)+42=0
So you just need to factor
u223u+42=0
where
u=3x
This gives
(u21)(u2)=0
(3x21)(3x2)=0
or just
(x7)(3x2)=0
Karsyn Wu

Karsyn Wu

Beginner2022-04-04Added 17 answers

It is a step justified by distributive property
A(B+C)AB+AC
in this case we have
A=3x2
that is(3x2)(x7)=(3x2)x+(3x2)(7)

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