10x+(x*x)=24

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Solution for 10x+(x*x)=24 equation:



10x+(x*x)=24
We move all terms to the left:
10x+(x*x)-(24)=0
We add all the numbers together, and all the variables
10x+(+x*x)-24=0
We get rid of parentheses
10x+x*x-24=0
Wy multiply elements
x^2+10x-24=0
a = 1; b = 10; c = -24;
Δ = b2-4ac
Δ = 102-4·1·(-24)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-14}{2*1}=\frac{-24}{2} =-12 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+14}{2*1}=\frac{4}{2} =2 $

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