Question

This expression gives the solutions to which quadratic equation?

Answer 1

Hey there! Your answer would be:
`3x^2+4=x`

The quadratic formula is (-b±√(b²-4ac))/(2a), and helps us find roots to a quadratic equation.

All quadratic equations can be written in the
`ax^2+bx+c` form, and a, b, and c, are numbers we need for the quadratic equation.

Our given quadratic equation is 1±√(-1)²-4(3)(4)/2(3)

We can see that b is -1, as -b is positive 1.

That gives us
`ax^2+-1x+c`, which can be simplified to
`ax^2-x+c`.

We can see that a is 3, because 2a=6, so a has to be 3.

That gives us
`3x^2-x+c`

Finally, we see that 4 is equal to b, clearly shown in the numerator of this fraction.

Which gives us a final answer of
`3x^2-x+4`, or
`3x^2+4=x`