You can
put this solution on YOUR website!5x^2+3x-2=0
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factoring:
5*-2=-10
What 2 factors of -10 add up 3? Ans: 5 and -2.
5x^2+5x-2x-2=0
5x(x+1)-2(x+1)=0 Factoring by grouping.
(5x-2)(x+1)=0
5x=2 x=2/5
x=-1
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Completing the square:
5x^2+3x-2=0
x^2+ 3x/5 - 2/5 = 0
x^2+.6x-.4=0
x^2+.6x =.4
x^2+.6x+.09=.4+.09 Complete the square by dividing the middle term by 2 and squaring the result.
(x+.3)^2=.49
x+.3=+-.7
x=-.3+-.7
x=.4, x=-1
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Ed
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| 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=49 is greater than zero. That means that there are two solutions:  .
Quadratic expression  can be factored:
Again, the answer is: 0.4, -1.
Here's your graph:
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