17p-7=6p^2

Solution for 17p-7=6p^2 equation:

17p-7=6p^2

We move all terms to the left:

17p-7-(6p^2)=0

determiningTheFunctionDomain
-6p^2+17p-7=0

a = -6; b = 17; c = -7;
Δ = b2-4ac
Δ = 172-4·(-6)·(-7)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-11}{2*-6}=\frac{-28}{-12}
=2+1/3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+11}{2*-6}=\frac{-6}{-12}
=1/2
$