3. Elana has a box with the dimensions
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The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:
After calculating:
Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
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When leading coefficient is 1 , the root will be an integer for g(x) = 0
Option 4 is the right answer.
<h3>What is a Polynomial Function ?</h3>Functions of independent variable in which the variable can appear more than once with different powers.
Let this represents the polynomial function
where
Then the according to rational root theorem ,
The root of the function is given by
So when leading coefficient is 1 , the root will be an integer for g(x) = 0
Option 4 is the right answer.
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