Answer :
The solution of the quadratic equation [tex]x^2 - 6x = 72[/tex] is
x = 12 or x = -6
What is a quadratic equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The given quadratic equation is
[tex]x^2 - 6x = 72[/tex]
Now,
[tex]x^2 - 6x = 72\\x^2 - 6x - 72 = 0\\x^2 - 12x + 6x -72 = 0\\x(x -12)+6(x -12)=0\\(x-12)(x+6)=0\\x-12=0 \ or \ x+6 = 0\\x = 12 \ or \ x = -6[/tex]
The solution of the quadratic equation [tex]x^2 - 6x = 72[/tex] is
x = 12 or x = -6
To learn more about quadratic equation, refer to the link-
https://brainly.com/question/1214333
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