we have

Equate the expression to zero to find the roots

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.


Rewrite as perfect squares


square roots both sides


the roots are


so

therefore
<u>the answer is the option</u>

Answer:

Step-by-step explanation:
step 1
if 1,584 is decreased by 18%
we know that

Multiply the number by 0.82

step 2
The number 1,298.88 is increased by a 19%
we know that

Multiply the number by 1.19

When a point lies on the x-axis, y = 0, the coordinates are ( x , 0 ).
When a point lies on the y-axis, x = 0, the coordinates are ( 0, y ).
First, split the triangle into half.
So the angle 38 becomes 38/2=19.
So we know two angles in the triangle:
One is 19 degrees.
The other one is 90 degrees (marked red).
The angles in a right-angled triangle add up to 180 degrees.
So to find the x angle, we calculate it by:
180 - (90+19) = 71
(the sum of three angles) - (the sum of the two known angles) = unknown angle
So x = 71 degrees.