Is \(\displaystyle{a}{x}^{{{2}}}+{b}{x}={0}\) considered a quadratic equation? Or

Aedan Berry

Aedan Berry

Answered question

2022-04-14

Is ax2+bx=0 considered a quadratic equation? Or is it linear, since it simplifies to ax+b=0?

Answer & Explanation

convinto44re

convinto44re

Beginner2022-04-15Added 9 answers

Step 1
You need only a0 for
ax2+bx+c=0.
If the degree of your polynomial is equal to 2, then you have a quadratic polynomial. This means , your equation ax2+bx=0 is still a quadratic equation, if a0
But, the degree of the polynomial ax+b is equal to 1. This implies, ax+b=0 is not a quadratic.
Step 2
ax2+bx=0
is not equivalent to
ax+b=0.
Because, x=0 is not always a root of ax+b=0.
anita1415snck

anita1415snck

Beginner2022-04-16Added 19 answers

Step 1
A quadratic equation is an equation that can be rearranged as ax2+bx+c=0 where a is not equal to 0 and b and c are real numbers. If a=0 then the equation is linear not quadratic since the x2 has no influence.

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