SOLUTION: Could some one please help me solve this equation using the quadratic equation? {{{2x^2+5x=4}}}

Algebra.Com
Question 102617: Could some one please help me solve this equation using the quadratic equation?
Found 2 solutions by jim_thompson5910, edjones:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 4 from both sides



Starting with the general quadratic



the general solution using the quadratic equation is:





So lets solve ( notice , , and )




Plug in a=2, b=5, and c=-4



Square 5 to get 25



Multiply to get



Combine like terms in the radicand (everything under the square root)




Multiply 2 and 2 to get 4

So now the expression breaks down into two parts

or


Now break up the fraction


or




So these expressions approximate to

or


So our solutions are:
or

Notice when we graph , we get:



when we use the root finder feature on a calculator, we find that and .So this verifies our answer
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!

2x^2+5x-4=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=57 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.637458608817687, -3.13745860881769. Here's your graph:
RELATED QUESTIONS

can some one please help me with this problem?? Solve the quadratic equation.... (answered by sonimyke)
Can you please help me solve the following quadratic equation using the quadratic... (answered by Alan3354)
Could some one help me solve this equation please 2x-3y=1 (answered by JBarnum)
please help me solve this equation using the quadratic formula {{{2x^2-3x=2}}} 2x*1=2 (answered by ichudov,quanika,nia50041,Igboze)
Could you please help me solve this quadratic equation using completing the square... (answered by Alan3354)
Could some one please help me solve this equation.... (answered by jim_thompson5910)
Please help solve this quadratic equation using the quadratic forumla. {{{ -3x^2 - 5x... (answered by mananth)
Could someone please help me solve this equation?? Use the quadratic forumla.... (answered by checkley71,stanbon)
please solve 2x^2-5x-7 using the quadratic... (answered by jim_thompson5910)