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Step-by-step explanation:

Let's solve your equation step-by-step.

−9m2−8m−3=0

For this equation: a=-9, b=-8, c=-3

−9m2+−8m+−3=0

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

m=

−b±√b2−4ac

2a

m=

−(−8)±√(−8)2−4(−9)(−3)

2(−9)

m=

8±√−44

−18

Answer:

No real solutions.

The given equation has no real solutions.

We have given that the quadratic equation

[tex]-9m^2-8m-3=0[/tex]

For this equation: a=-9, b=-8, c=-3

[tex]-9m^2-8m-3=0[/tex]

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

What is the formula for the quadratic roots?

[tex]x=\frac{-b \±\sqrt{b^2-4ac}} {2a}[/tex]

Therefore we have,

[tex]x=\frac{-b \±\sqrt{b^2-4ac}} {2a}[/tex]

[tex]x=\frac{-(-8)\±\sqrt{(-8)^2-4(-9)(-3)} }{2(-9)}[/tex]

[tex]x=-\frac{4}{9} -i\frac{\sqrt{11} }{9}[/tex] and [tex]x=-4/9+i\frac{\sqrt{11} }{9}[/tex]

This equation has no real solutions.

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333