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enot [183]
2 years ago
9

3x^+5x+2=0 need work shown plz

Mathematics
2 answers:
Alexxandr [17]2 years ago
7 0

Answer:

{3x}^{2}  + 5x + 2 \\  =  {3x}^{2}  + 3x + 2x + 2 \\  = 3x(x + 1) + 2(x + 1) \\  = (3x +2)(x + 1)

Sliva [168]2 years ago
5 0

Answer:

x=-2/3 and x=-1

factored form

(3x+2)(x+1)

[Let me know if there is another method your instructor wanted you to use]

Step-by-step explanation:

Given:

3x^2+5x+2=0

Factor using the quadratic formula:

x=\frac{-b+-\sqrt{b^2-4(a)(c)} }{2a}

x=\frac{-5+-\sqrt{(5)^2-4(3)(2)} }{2(3)}

x=\frac{-5+-\sqrt{25-24} }{6}

x=\frac{-5+-\sqrt{1} }{6}

x=\frac{-5+1}{6} and x=\frac{-5-1}{6}

Finally:

x=-2/3 and x=-1

Written in factored form would be:

(3x+2)(x+1)

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