(X*x)+10=7x

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Solution for (X*x)+10=7x equation:



(X*X)+10=7X
We move all terms to the left:
(X*X)+10-(7X)=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 = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-3}{2*1}=\frac{4}{2} =2 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+3}{2*1}=\frac{10}{2} =5 $

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