Question

middle term splitting of 2x^-3x-2?​

Answer 1

Answer:

pls follow me.........

Step-by-step explanation:

mark as brainlist..❤❤

always be happy❤

Answer 2

Given

f(x) = 2x² - 3x - 2

Steps for splitting the term

• Multiply the coefficient of x² and the constant term. Here (2 × -2) = -4
• Now, split the middle term into two terms such that: ➪ On multiplying the terms we get (-4) ➪ On adding or subtracting the terms, we should get the middle term i.e (-3).. Here {(-4 + 1) = (-3)} Or {(1 - 4) = (-3)}

Solution

2x² - 3x - 2 = 0

=> 2x² - 4x + x - 2 = 0

Taking common

=> 2x(x - 2) + 1(x - 2) = 0

=> (2x + 1) (x - 2) = 0

=> 2x = -1 ; x = 2

=> x = -1/2 ; x = 2

Or

2x² - 3x - 2 = 0

=> 2x² + x - 4x - 2 = 0

Taking common

=> x(2x + 1) - 2(2x + 1) = 0

=> (2x + 1) (x - 2) = 0

=> 2x = -1 ; x = 2

=> x = -1/2 ; x = 2

The roots of the quadratic equation are (-1/2) and 2 respectively