(x*x)-7x-10=0

Solution for (x*x)-7x-10=0 equation:

(x*x)-7x-10=0

We add all the numbers together, and all the variables

(+x*x)-7x-10=0

We add all the numbers together, and all the variables

-7x+(+x*x)-10=0

We get rid of parentheses

-7x+x*x-10=0

Wy multiply elements

x^2-7x-10=0

a = 1; b = -7; c = -10;
Δ = b2-4ac
Δ = -72-4·1·(-10)
Δ = 89
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{-(-7)-\sqrt{89}}{2*1}=\frac{7-\sqrt{89}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{89}}{2*1}=\frac{7+\sqrt{89}}{2}
$