Question

what must be added to be added to 2x2 + 3x - 5 to give 5x2 - 4x + 2?​

Answer 1

To find : In the given question we are asked to find a term to be added to $2x^{2} + 3x - 5$ to given $5x^{2} - 4x + 2$

Let  ' y ' be the missing term

Given : form the given data we may conclude that sum of ' y' and $2x^{2} + 3x - 5$ gives us $5x^{2} - 4x + 2$

Solution :

• Let , $( y ) + 2x^{2} + 3x -5 = 5x^{2} - 4x + 2$  
• then , leaving the term at LHS and transposing second term to RHS  we get,

                 $y = (5x^{2} + 4x + 2) - (2x^{2} + 3x - 5)$

• By performing simple subtraction we can find term ' y ' .

           ⇒        $y = 5x^{2} + 4x + 2 - 2x^{2} - 3x + 5$

            ⇒       $y = 3x^{2} + x + 5$

Hence , $3x^{2} + x + 5$ should be added to $2x^{2} + 3x - 5$ to get $5x^{2} - 4x + 2$ .

                 

Answer 2

Answer:

$3x^{2} -7x+7$

Step-by-step explanation:

• As per the data given in the question, we need to find the term that is to be added to $2x^{2} +3x-5$ to give $5x^{2} -4x+2$

• Let the number be $a$.

• According to the given data,

$(2x^{2} +3x-5)+a=5x^{2} -4x+2$

$a=(5x^{2} -4x+2)-(2x^{2} +3x-5)$

• On subtracting the above expression, we get

$a=5x^{2} -4x+2-2x^{2} -3x+5$

$a=3x^{2} -7x+7$

Hence, the answer is $3x^{2} -7x+7$