1132=167t(+19t)

Solution for 1132=167t(+19t) equation:

1132=167t(+19t)

We move all terms to the left:

1132-(167t(+19t))=0


We calculate terms in parentheses: -(167t(+19t)), so:

167t(+19t)

We multiply parentheses

3173t^2

Back to the equation:

-(3173t^2)


a = -3173; b = 0; c = +1132;
Δ = b2-4ac
Δ = 02-4·(-3173)·1132
Δ = 14367344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{14367344}=\sqrt{16*897959}=\sqrt{16}*\sqrt{897959}=4\sqrt{897959}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{897959}}{2*-3173}=\frac{0-4\sqrt{897959}}{-6346}
=-\frac{4\sqrt{897959}}{-6346}
=-\frac{2\sqrt{897959}}{-3173}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{897959}}{2*-3173}=\frac{0+4\sqrt{897959}}{-6346}
=\frac{4\sqrt{897959}}{-6346}
=\frac{2\sqrt{897959}}{-3173}
$