Question

This expression gives the solutions to which quadratic equation?

Answer 1

Answer:

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 $3x^2+4=x$