This expression gives the solutions to which quadratic equation?

Hey there! Your answer would be:  

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 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  , which can be simplified to .

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

That gives us

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

Which gives us a final answer of , or

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.