X2+1.5x-10=0

Solution for X2+1.5x-10=0 equation:

X2+1.5X-10=0

We add all the numbers together, and all the variables

X^2+1.5X-10=0

a = 1; b = 1.5; c = -10;
Δ = b2-4ac
Δ = 1.52-4·1·(-10)
Δ = 42.25
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{-(1.5)-\sqrt{42.25}}{2*1}=\frac{-1.5-\sqrt{42.25}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{42.25}}{2*1}=\frac{-1.5+\sqrt{42.25}}{2}
$