Solve by completing the square x^2-10x-24=0

 x = -2  and x =12

Step-by-step explanation:

Explanation:-

Given equation  x² - 10 x - 24=0

                          x² - 12 x +2x - 24 =0

                ⇒   x (x-12) +2( x -12) =0

              ⇒  x+2 =0 and x-12 =0

             x = -2  and x =12

The person will pay $ 510 more as income tax per month .

Step-by-step explanation:

Given as :

The monthly income of person = $ 25000

The amount paid as income tax per year =$ 9000

So,The amount paid as income tax per month =$ = $750

Or, x% is the income tax of the monthly income

I.e x % of 25000 = 750

∴ x % =

Or, x =   × 100

I.e x = 3 %

Now, since the income tax is increase by 0.5 % per month

So, x' = 3 % + 0.5 % = 3.5 %

And The monthly income increase by $ 11000

I.e New monthly income = $ 25000 + $ 11000 = $ 36000

Now, The income tax which the person pay now is 3.5 % of $ 36000

i.e The income tax which the person pay now = 0.035×36000 = 1260 per month

so, The income tax which the person pay now as per year = 1260 × 12 =        $ 15,120

∴ The increase income tax per month = $ 1260 - $ 750 = $ 510

Hence The person will pay $ 510 more as income tax per month . Answer