Question

help to solve please.
51x=2x^2+72

Answer 1

\[2x^2-51x+72=0\]
I believe you have to use the quadratic equation again.
\[x=-b \pm \sqrt{b^2-4ac}/2a \]

\[ax^2+bx+c\]
so a=2
b=-51
c=72

Answer 2

I got x=24 or 1.5

Answer 3

do you mind walking through it with me?

Answer 4

yep,
x=3/2
x=24

Answer 5

\[-(-51)+\sqrt{(-51^2-4(2)(72)}/2(2)\]

Answer 6

\[-(-51)-\sqrt{(-51^2-4(2)(72)}/2(2)\]

Answer 7

Those are the equation you get when you plug a,b, and c into the quadratic equation.

Answer 8

You have two equations because the quadratic equation has the opposite of b plus or minus the square root b squared minus four ac all divided by 2a.

Answer 9

The first equation should give you a value of 24 and the second equation should give you a value of 1.5

Answer 10

You can always check your answers as well by plugging them into the original equation.
For instance \[2(24^2)-51(24)+72=0\]