-10x^2-60x+9=1

Solution for -10x^2-60x+9=1 equation:

-10x^2-60x+9=1

We move all terms to the left:

-10x^2-60x+9-(1)=0

We add all the numbers together, and all the variables

-10x^2-60x+8=0

a = -10; b = -60; c = +8;
Δ = b2-4ac
Δ = -602-4·(-10)·8
Δ = 3920
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3920}=\sqrt{784*5}=\sqrt{784}*\sqrt{5}=28\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-28\sqrt{5}}{2*-10}=\frac{60-28\sqrt{5}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+28\sqrt{5}}{2*-10}=\frac{60+28\sqrt{5}}{-20}
$