15.x2=735

Solution for 15.x2=735 equation:

15.x^2=735

We move all terms to the left:

15.x^2-(735)=0

a = 15.; b = 0; c = -735;
Δ = b2-4ac
Δ = 02-4·15.·(-735)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-210}{2*15.}=\frac{-210}{30}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+210}{2*15.}=\frac{210}{30}
=7
$