Question

Please help ! (marking brainliest) there is 2 questions.

Answer 1

Answer:

1. ${x}^{2} - 16x + 55$

2. Required factors: (x - 10) (x - 13)

x = 10, x = 13

Step-by-step explanation:

1.

Graph is intersecting x-axis at points (5, 0) & (11, 0)

Hence, x = 5 & x = 11 are zeroes of the function.

So, (x - 5) & (x - 11) are factors of the quadratic function:

Therefore, required function is:

$(x - 5)(x - 11) \\ = {x}^{2} - 11x - 5x + 55 \\ = {x}^{2} - 16x + 55$

2.

$y = x^2 - 23x + 130$

$\therefore y = x^2 - 10x -13x+ 130$

$\therefore y = x(x - 10) -13(x - 10)$

$\therefore y = (x - 10) (x - 13)$

Plug y = 0

So, x - 10 = 0, x - 13 =0

x = 10, x = 13