determine whether the equation is quadratic or not x(x+3)+5 =x² +9x+8
Answers
Answer:
no
Step-by-step explanation:
quadratic equation is a equation which is in the form of ax^2+bx+c=0
while by simplifying x(x+3)=x^2+9x+8
we get 12x+13
thus it is not a quadratic Equation
The given equation is not a quadratic equation.
Given,
the equation x(x+3)+5 =x² +9x+8
To Find,
whether the equation is quadratic or not
Solution,
A second-order polynomial equation with a single variable, x, is known as a quadratic equation.
Quadratic equation is of the form ax² + bx + c = 0, with a≠0.
It has two solutions since it is a second-order polynomial equation, which is guaranteed by the fundamental theorem of algebraic.
These answers could be real or complex.
The given equation is x(x+3)+5 =x² +9x+8.
We can simplify this equation to find out whether the equation is quadratic or not.
⇒ x(x + 3) + 5 = x² + 9x + 8
⇒ x² + 3x + 5 = x² + 9x + 8
⇒ x² + 9x + 8 - x² + 3x + 5 = 0
⇒ 6x + 3 = 0
⇒ 2x + 1 = 0
This equation is a linear equation in one variable. Hence, it is not a quadratic equation.
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