The sum of all solutions to the equation is: x = 2.96 or -2.96
What is the sum of all solutions to the equation?
In an algebraic expression, the sum of all solutions to the equation requires making the variable the subject of the formula to determine the value of the variable.
From the given parameters:
4x(x - 3) = 23
Open brackets
4x² - 12x = 23
4x² - 12 - 23 = 0
This is a quadratic equation and by solving using the quadratic formula, we have:
[tex]\mathbf{= (x + \dfrac{\sqrt{35}}{2}) \ or \ (x - \dfrac{\sqrt{35}}{2})}[/tex]
[tex]\mathbf{ (x = - \dfrac{\sqrt{35}}{2}) \ or \ (x = + \dfrac{\sqrt{35}}{2})}[/tex]
x = 2.96 or -2.96
Learn more about the sum of all solutions in a quadratic equation here:
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