(X)=-4.9x^2+7.8x+10

Solution for (X)=-4.9x^2+7.8x+10 equation:

(X)=-4.9X^2+7.8X+10

We move all terms to the left:

(X)-(-4.9X^2+7.8X+10)=0

We get rid of parentheses

4.9X^2-7.8X+X-10=0

We add all the numbers together, and all the variables

4.9X^2-6.8X-10=0

a = 4.9; b = -6.8; c = -10;
Δ = b2-4ac
Δ = -6.82-4·4.9·(-10)
Δ = 242.24
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{-(-6.8)-\sqrt{242.24}}{2*4.9}=\frac{6.8-\sqrt{242.24}}{9.8}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.8)+\sqrt{242.24}}{2*4.9}=\frac{6.8+\sqrt{242.24}}{9.8}
$