Question

When 5x^2 + 2= 4x is written in standard form, what are the values of a, b, and c

Answer 1

The standard form of a quadratic equation is

`ax^(2)+bx+c=0`,

where
`a`,
`b`, and
`c` are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.

In this case, the given equation is

`5x^(2)+2=4x`

Since
`4x` is on the right side of the equation, we subtract that from both sides. The resulting equation is

`5x^(2)-4x+2=0`

Looking at the standard form equation
`ax^(2)+bx+c=0`, we can see that

`a=5, b=-4, c=0`