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Elza [17]
3 years ago
10

Solve −3x2 − 4x − 4 = 0.

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Answer:

x equals quantity of negative 2 plus or minus 2ii square root of 2 all over 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}



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