Question

find the sum of product of the zero of the polynomials. 2x square-7x+8​

Answer 1

Answer:

Your question should like this:

Find the sum and product of the zero of the polynomials.

2x²-7x+8=0.....(Given quadratic equation)

Comparing the above equation with

ax²+bx+c=0

a=2 , b=-7 and c=8

Now,

Alpha + beta=-b/a=7/2

alpha×beta=c/a=8/2=4

Answer 2

Step-by-step explanation:

Simplifying

2x2 + -7x + -8 = 0

Reorder the terms:

-8 + -7x + 2x2 = 0

Solving

-8 + -7x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square. Divide all terms by

2 the coefficient of the squared term:

Divide each side by '2'.

-4 + -3.5x + x2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.

-4 + -3.5x + 4 + x2 = 0 + 4

Reorder the terms:

-4 + 4 + -3.5x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -3.5x + x2 = 0 + 4

-3.5x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4

-3.5x + x2 = 4