Step-by-step explanation:
Hey there!
Here,
The equation is:
[tex]7 \sqrt{3 \: } {x}^{2} + 10x - \sqrt{3 } = 0[/tex]
Comparing the equation with ax^2+bx+c=0. We get;
[tex]a = 7 \sqrt{3} [/tex]
[tex]b = 10[/tex]
[tex]c = \sqrt{3} [/tex]
Now,
Discriminant= ?
We have,
[tex]discriminant = {b}^{2} - 4ac[/tex]
Put all values.
[tex]discriminant = {10}^{2} - 4 \times 7 \sqrt{3} \times \sqrt{3} [/tex]
[tex]discriminant = 100 - 4 \times7 \times 3[/tex]
[tex]discriminant = 100 - 84[/tex]
Therefore the discriminant = 16.
Hope it helps...
