1+10a+9a2=

Solution for 1+10a+9a2= equation:

1+10a+9a^2=

We move all terms to the left:

1+10a+9a^2-()=0

We add all the numbers together, and all the variables

9a^2+10a=0

a = 9; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·9·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*9}=\frac{-20}{18}
=-1+1/9
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*9}=\frac{0}{18}
=0
$