The pure quadratic equation in the following is
- $ x+\cfrac { 1 }{ x } =4$
- $ x+\cfrac { 1 }{ x } =0$
- $x-\cfrac { 3 }{ 4 } =2x$
- $3x(x-1)=0$
Reveal answer
Fill a bubble to check yourself
B
Correct answer
Explanation
A pure quadratic equation is of the form ax^2 + c = 0 (no x term). x + 1/x = 0 becomes x^2 + 1 = 0.
AI explanation
A pure quadratic equation is one that only contains the second power of the variable and a constant, having no linear term. Multiplying the equation x + 1/x = 0 by x yields x^2 + 1 = 0, which is of the form ax^2 + c = 0 and contains no x term. The other equations either remain linear or contain a linear term, so the pure quadratic equation is x + 1/x = 0.