SOLUTION: write a quadratic equation whose solutions are: 1/2 and 10/3 I can get that the first is 6x^2+ +10=0 I cannot figure the middle solution?

Question 294998: write a quadratic equation whose solutions are: 1/2 and 10/3 I can get that the first is 6x^2+ +10=0 I cannot figure the middle solution?
Found 2 solutions by richwmiller, ankor@dixie-net.com:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
If the solutions are a and b the the equation is (x-a)*(x-b)=0
a=1/2 and b=10/3
(x-1/2)*(x-10/3)=0
Use FOIL to multiply it out.
F x^2
O -10x/3
I -x/2
L -1/2*-10/3=10/6
add them all together
x^2-10x/3-x/2+10/6=0
We could multiply by 6
6x^2-20x-3x+10=0
6x^2-23x+10=0

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
write a quadratic equation whose solutions are: 1/2 and 10/3 I can get that the first is 6x^2+ +10=0 I cannot figure the middle solution?
:
Can't you just foil
(3x - 10)(2x - 1) = 0
6x^2 - 3x - 20x + 10 = 0
6x^2 - 23x + 10 = 0
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