Question

Which equation can be solved using the expression

3-+_ square root of (3)^2+4(10)(2)
-----------------
2(10)

Answer 1

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

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

`x=\frac{-b\pm \sqrt{b^(2)-4ac}}{2a}`

Now we compare this quadratic formula with the given formula

`x=\frac{-3\pm \sqrt{(3)^(2)+4(10)(2)}}{2(10)}`

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