35x+98=7x^2

Solution for 35x+98=7x^2 equation:

35x+98=7x^2

We move all terms to the left:

35x+98-(7x^2)=0

determiningTheFunctionDomain
-7x^2+35x+98=0

a = -7; b = 35; c = +98;
Δ = b2-4ac
Δ = 352-4·(-7)·98
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3969}=63$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-63}{2*-7}=\frac{-98}{-14}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+63}{2*-7}=\frac{28}{-14}
=-2
$