67i*i=675

Solution for 67i*i=675 equation:

67i*i=675

We move all terms to the left:

67i*i-(675)=0

Wy multiply elements

67i^2-675=0

a = 67; b = 0; c = -675;
Δ = b2-4ac
Δ = 02-4·67·(-675)
Δ = 180900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{180900}=\sqrt{900*201}=\sqrt{900}*\sqrt{201}=30\sqrt{201}$
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{201}}{2*67}=\frac{0-30\sqrt{201}}{134}
=-\frac{30\sqrt{201}}{134}
=-\frac{15\sqrt{201}}{67}
$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{201}}{2*67}=\frac{0+30\sqrt{201}}{134}
=\frac{30\sqrt{201}}{134}
=\frac{15\sqrt{201}}{67}
$