Question

The degree of the equation ${(x^{\frac{3}{2}}+2)}^2=(3x+1{)}^2$, is

• A. $3$
• B. $4$
• C. $5$
• D. $6$

Answer 1

The correct option is A $3$

$(x^{\frac{3}{2}}+2{)}^2=(3x+1{)}^2$

Applying squareroot on both sides, we get,

$x^{\frac{3}{2}}+2=3x+1$

$⟹x^{\frac{3}{2}}=3x+1-2$

Squaring both sides , we get,

$⟹(x^{\frac{3}{2}}{)}^2=(3x-1{)}^2$

$⟹x^3=9x^2-6x+1$

$\therefore$ Degree of the polynomial $=3$

Answer : A