Respuesta :

First get the equation into the form: Ax^2 + Bx + C = 0 (the quadratic equation).. We do this by subtracting 10x both sides (to get it on the other side).. 9x^2 + 2 = 10x 9x^2 - 10x + 2 = 10x - 10x 9x^2 - 10x + 2 = 0 Now the discriminant is: b^2 - 4ac The quadratic equation is Ax^2 + Bx + C = 0 Here, A = 9, B = -10 and C = 2 so plug them in... (-10)^2 - 4 (9)(2) = 100 - 4 (18) = 100 - 72 = 28 <--- answer...
JeanaShupp

The discriminant of  [tex]9x^2+2=10x[/tex] is 28.

The discriminant (d) of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by :-

[tex]d=b^2-4ac[/tex]

The given quadratic equation: [tex]9x^2+2=10x[/tex]

Rewrite in the standard form, we get [tex]9x^2-10x+2=0[/tex]

Here [tex]a=9, b=-10 , c=2[/tex]

So, the discriminant of the equation will be :

[tex]d=(-10)^2-4(9)(2)[/tex]

[tex]=100-72[/tex]

[tex]=28[/tex]

Therefore, the discriminant of  [tex]9x^2+2=10x[/tex] is 28.

Learn more about discriminant:

https://brainly.com/question/15884086?referrer=searchResults

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