Question

split the middle term of 2x²-5x-3

Answer 1

Heeyaa...

$2 {x}^{2} - 5x - 3$

$2 {x}^{2} - 6x + x - 3$

$2x(x - 3) + 1( x - 3)$

$(2x+ 1)(x - 3)$

$x = - \frac{1}{2} \: and \: x = 3$

Hope it helps

Sweetmash :)

Answer 2

Concept introduction:

dividing the middle word into two components is used in quadratic decomposition in this approach. In a quadratic factorization employing splitting of the middle term, where $x$ is the result of two factors and last term is the sum of the two factors.

Given:

Here it is given that the expression is $2x^2-5x-3$.

To find:

We have to find the value of $x$.

Solution:

According to the question,

$2x^2-5x-3=0\\= > 2x^2-6x+x-3=0\\= > 2x(x-3)+1(x-3)=0\\x=-1/2$or, $x=3$

Final answer:

Hence, the final answer of the question is $x=-1/2$ or $3$.

#SPJ2