SOLUTION: how do you use the quadratic formula for 2a^2 - 46a + 252 = 0? please round to the nearest hundreth

Question 171868: how do you use the quadratic formula for 2a^2 - 46a + 252 = 0? please round to the nearest hundreth
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
how do you use the quadratic formula for 2a^2 - 46a + 252 = 0? please round to the nearest hundreth
---------------------
2a^2 - 46a + 252 = 0
Divide by 2.
Always reduce when possible, it makes it easier to spot factors, and, if you do it by hand, it makes the numbers you deal with smaller.
a^2 - 23a + 126 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 14, 9. Here's your graph:

So it's 14 and 9. The solver always uses x, sub a for x.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for a

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

RELATED QUESTIONS
Use the quadratic formula to solve the equation. If necessary, round to the nearest... (answered by jim_thompson5910)
use the quadratic formula to solve for this equation: 2a^2-46a+252=0 i dont get that can (answered by Alan3354)
use the quadratic formula to solve the equation. If necessary, round answers to the... (answered by mananth,jsmallt9)
how do you use the quadratic formula to solve 5y^2+5y=9? please round to the nearest... (answered by jim_thompson5910)
how do you solve 11x^2=27? round to the nearest... (answered by Alan3354)
2a^2-46a+254=0 thank... (answered by nerdybill)
How do you solve for x? e^4-3x=5-2x To the nearest hundreth please. (answered by stanbon)
Solve 0=-5x^2+22. Round the the nearest hundreth. Thank you show work... (answered by Fombitz)
Iam having a horrible time w/quadratic equations especially finding decimals here is the... (answered by stanbon)