(X+7)+(2x-3)=(x*x)

Solution for (X+7)+(2x-3)=(x*x) equation:

(X+7)+(2X-3)=(X*X)

We move all terms to the left:

(X+7)+(2X-3)-((X*X))=0

We add all the numbers together, and all the variables

(X+7)+(2X-3)-((+X*X))=0

We get rid of parentheses

X+2X-((+X*X))+7-3=0


We calculate terms in parentheses: -((+X*X)), so:

(+X*X)

We get rid of parentheses

X*X

Wy multiply elements

X^2

Back to the equation:

-(X^2)


determiningTheFunctionDomain
-X^2+X+2X+7-3=0

We add all the numbers together, and all the variables

-1X^2+3X+4=0

a = -1; b = 3; c = +4;
Δ = b2-4ac
Δ = 32-4·(-1)·4
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-5}{2*-1}=\frac{-8}{-2}
=+4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+5}{2*-1}=\frac{2}{-2}
=-1
$