Question

4. What should be added to x" - X? + x + 2 to get x² + x +4? 2​

Answer 1

Solving x2-x-4 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 1

B = -1

C = -4

Accordingly, B2 - 4AC =

1 - (-16) =

17

Applying the quadratic formula :

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Answer 2

Step-by-step explanation:

A perfect square is a number that is resulted by the other number raised by 2.

For example: 36 is a perfect square, because 6² = 36.

A perfect square trinomial is a trinomial that is resulted by a squared-binomial.

in other words, (x² + 2x + 1) is a perfect square trinomial, because it can be expressed by the square- binomial form as (x+1)²