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# Try our Free Online Math Solver! Online Math Solver

 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

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 Ineq. #4:

 Ineq. #5:

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 Solve for:

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# Solving equations by the quadratic formula

In 8.1, we discussed the quadratic formula as a method of solving quadratic equations. It can be
used on any quadratic equation . The quadratic formula is actually a derivation of completing the
square and its final form looks like this : Ex. 1
Solve by using the quadratic formula: *You might want to start off by reminding yourself what a,
b, and c stand for: Now put those into
the quadratic formula : Work under the radical first and be sure to use the order of
operations : . Keep working under
the radical: Simplify the radical if
possible and calculate the answers :  *Before starting this problem, put the equation in
descending
order and set the equation equal to zero : Now use the quadratic formula: Again, work under the
radical and use the order of operations to get : We can’t take the square root of 8
evenly
and remember that the square root of a negative
number is imaginary so we’ll simplify it this way: Prev Next