X+7=172x2=-7

Solution for X+7=172x2=-7 equation:

X+7=172X^2=-7

We move all terms to the left:

X+7-(172X^2)=0

determiningTheFunctionDomain
-172X^2+X+7=0

a = -172; b = 1; c = +7;
Δ = b2-4ac
Δ = 12-4·(-172)·7
Δ = 4817
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{4817}}{2*-172}=\frac{-1-\sqrt{4817}}{-344}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{4817}}{2*-172}=\frac{-1+\sqrt{4817}}{-344}
$