this should be easy

Hello, shefflebat!

Do you know HOW to find an x-intercept?

Find the x intercept: .f(x)  =  249x2+107x\displaystyle f(x)\;=\;-\frac{2}{49}x^2\,+\,\frac{10}{7}x
Set the function equal to 0 and solve for x.\displaystyle x.

We have: .-249x2+107x  =  0\displaystyle \frac{2}{49}x^2\,+\,\frac{10}{7}x\;=\;0

Multiply through by -49:    2x270x  =  0\displaystyle 49:\;\;2x^2\,-\,70x\;=\;0

Factor: .2x(x35)  =  0\displaystyle 2x(x\,-\,35)\;=\;0

Therefore: .x=0,35\displaystyle x\,=\,0,\,35
 
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