Question

Find the sum of the roots of th
equation
x2 - 8x +2=0​

Answer 1

Answer:

8 is the sum of the zeros this is equal to -b/a. bro..

Answer 2

Step-by-step explanation:

x2-8x-2=0

Two solutions were found :

x =(8-√72)/2=4-3√ 2 = -0.243

x =(8+√72)/2=4+3√ 2 = 8.243

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-8x-2

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 1 • -2 = -2

Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is -8 .

-2 + 1 = -1

-1 + 2 = 1

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 1 :

x2 - 8x - 2 = 0

Step 2 :

Parabola, Finding the Vertex :

2.1 Find the Vertex of y = x2-8x-2

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this