2.47x^2-23X=24

Solution for 2.47x^2-23X=24 equation:

2.47x^2-23x=24

We move all terms to the left:

2.47x^2-23x-(24)=0

a = 2.47; b = -23; c = -24;
Δ = b2-4ac
Δ = -232-4·2.47·(-24)
Δ = 766.12
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-\sqrt{766.12}}{2*2.47}=\frac{23-\sqrt{766.12}}{4.94}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+\sqrt{766.12}}{2*2.47}=\frac{23+\sqrt{766.12}}{4.94}
$