Respuesta :
Answer:
Step-by-step explanation:
Always do opposite. E.g, opposite of square is square root.
x(x + 4) = 6
expand brackets
x^2 + 4 = 6
minus 4 from both sides
x^2 = 6 - 4
square root everything
x = [tex]\sqrt{6-4}[/tex]
The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
What is a quadratic equation?
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] 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:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
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:
[tex]\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}[/tex]
After calculating:
[tex]\rm x = \dfrac{-4 \pm\sqrt{40}}{2}[/tex]
[tex]\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}[/tex]
Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
brainly.com/question/2263981
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