The Manolos reasoning is not complete because the quadratic equation has two roots and the roots are 6 and -6.
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]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
A quadratic equation:
g² = 36
Manolo says that the solution of the equation g squared equals 36 is g = 6 because 6×6 = 36
As we know, the quadratic equation has two roots.
To solve the quadratic equation we can use the identity:
a² - b² = (a + b)(a - b)
g² = 36
g² - 36 = 0
g² - 6² = 0
(g + 6)(g - 6) = 0
g + 6 = 0 ⇒ g = -6
g - 6 = 0 ⇒ g = 6
Thus, the Manolos reasoning is not complete because the quadratic equation has two roots and the roots are 6 and -6.
Learn more about quadratic equations here:
brainly.com/question/2263981
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