Question

what should be added to x² +4 to get x² -4 ?​

Answer 1

SOLUTION:

Let the polynomial which should be added be x.

• According to the question :

${:}\longrightarrow\sf x^2+4+x=x^2-4$

${:}\longrightarrow\sf \cancel{x^2} -\cancel{x^2}+4+x=-4$

${:}\longrightarrow\sf 4+x=-4$

${:}\longrightarrow\sf x = -4 -4$

${:}\longrightarrow{\underline{\boxed{\blue{\bf x=-8}}}}$

$\huge {\therefore}$ -8 should be added to $\sf{x^2+4}$ to get $\sf{x^2-4}$.

Verification :

We know that

• -8 should be added to $\sf{x^2+4}$

${:}\longrightarrow\sf x^2+4+x=x^2-4$

${:}\longrightarrow\sf (-8)^2+4-8=(-8)^2-4$

${:}\longrightarrow\sf 64+4-8=64-4$

${:}\longrightarrow\sf 68-8=64-4$

${:}\longrightarrow\sf 60 = 60$

${:}\longrightarrow{\underline{\boxed{\blue{\bf LHS=RHS}}}}$

Answer 2

Step-by-step explanation:

Given:-

polynomial is x²+4

To find:-

what should be added to x² +4 to get x² -4 ?

Solution:-

Given polynomial =x²+4

Let the required polynomial=a

now according to the given problem

=>x²+4+a=x²-4

=>a=x²-4-(x²+4)

=>a=x²-4-x²-4

=>a=-4-4

= a=-8

Answer:-

The required answer=-8