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zlopas [31]
3 years ago
11

Solve -3x^2 - 4x - 4 = 0

Mathematics
2 answers:
STALIN [3.7K]3 years ago
5 0

Answer:

x1=\frac{-2(+)2i\sqrt{2}} {3}

x2=\frac{-2(-)2i\sqrt{2}} {3}

Step-by-step explanation:

we have

-3x^{2} -4x-4=0

Rewrite (Multiply by -1 both sides)

3x^{2}+4x+4=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

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

in this problem we have

3x^{2}+4x+4=0

so

a=3\\b=4\\c=4

substitute

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


x=\frac{-4(+/-)\sqrt{-32}} {6}

remember that

i=\sqrt{-1}

x=\frac{-4(+/-)4i\sqrt{2}} {6}

Simplify

x=\frac{-2(+/-)2i\sqrt{2}} {3}

x1=\frac{-2(+)2i\sqrt{2}} {3}

x2=\frac{-2(-)2i\sqrt{2}} {3}



shepuryov [24]3 years ago
3 0

-3x^2 - 4x - 4 = 0\\\\\Delta=(-4)^2-4\cdot(-3)\cdot(-4)=16-48=-32

\Delta therefore there are no solutions in real numbers.

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