5k^2-47k-102=-

Solution for 5k^2-47k-102=- equation:

5k^2-47k-102=-

We move all terms to the left:

5k^2-47k-102-(-)=0

We add all the numbers together, and all the variables

5k^2-47k-102-0=0

We add all the numbers together, and all the variables

5k^2-47k-102=0

a = 5; b = -47; c = -102;
Δ = b2-4ac
Δ = -472-4·5·(-102)
Δ = 4249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-47)-\sqrt{4249}}{2*5}=\frac{47-\sqrt{4249}}{10}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-47)+\sqrt{4249}}{2*5}=\frac{47+\sqrt{4249}}{10}
$