55t-5t^2=151

Solution for 55t-5t^2=151 equation:

55t-5t^2=151

We move all terms to the left:

55t-5t^2-(151)=0

a = -5; b = 55; c = -151;
Δ = b2-4ac
Δ = 552-4·(-5)·(-151)
Δ = 5
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{-(55)-\sqrt{5}}{2*-5}=\frac{-55-\sqrt{5}}{-10}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+\sqrt{5}}{2*-5}=\frac{-55+\sqrt{5}}{-10}
$