7.6=2.7t2-24.0

Solution for 7.6=2.7t2-24.0 equation:

7.6=2.7t^2-24.0

We move all terms to the left:

7.6-(2.7t^2-24.0)=0

We get rid of parentheses

-2.7t^2+24.0+7.6=0

We add all the numbers together, and all the variables

-2.7t^2+31.6=0

a = -2.7; b = 0; c = +31.6;
Δ = b2-4ac
Δ = 02-4·(-2.7)·31.6
Δ = 341.28
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{341.28}}{2*-2.7}=\frac{0-\sqrt{341.28}}{-5.4}
=-\frac{\sqrt{}}{-5.4}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{341.28}}{2*-2.7}=\frac{0+\sqrt{341.28}}{-5.4}
=\frac{\sqrt{}}{-5.4}
$