Respuesta :

3 (+-) sqrt 3^2 + 4(10)(2) / 2(10)

quadratic formula...-b (+-) sqrt b^2 - 4ac / 2a

a = 10
b = 3
c = 2

ax^2 + bx + c = 0
10x^2 + 3x + 2 = 0 <====

Answer:

Quadratic equation of the expression will be 10x²+ 3x - 2 = 0

Step-by-step explanation:

If we have a quadratic equation given as ax²+ bx + c = 0, we can find the value of x with the help of quadratic formula

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

Now we compare this quadratic formula with the given formula

[tex]x=\frac{-3\pm \sqrt{(3)^{2}+4(10)(2)}}{2(10)}[/tex]

We get the values

a = 10

b = 3

c = -2

So the quadratic equation will be 10x² + 3x - 2 = 0

Or 10x² + 3x - 2 = 0