Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an equation using the quadratic formula. What are the solutions to the equation? x = –1, 6 x = –6, 1 x = –22, 27 x = –27, 22

x= -6,   1

Step-by-step explanation:

To solve;

X² + 5x - 6

Using the quadratic formula, we need to follow the steps below;

First compare the equation given with the standard equation ax² + bx + c

a= 1    b=5    and c = -6

Write down the quadratic formula

x = -b ±√b² - 4ac  /2a

x = -5 ±√5² - 4(1)(-6)  /2(1)

x = -5 ±√25+24  /2

x = -5 ±√49  /2

x = -5  ± 7/2

Either x = -5-7  /2     or        x = -5 + 7 /2

Either x = -12/2        or         x= 2/2

Either   x   = -6         or           x=1

         x =  -6     or       1

x= -6,   1

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720