Diego is solving the equation x^2-12x = 21

The solutions to the quadratic equations will be:

Step-by-step explanation:

Given the expression

Let us solve the equation by completing the square

Add (-6)² to both sides

simplify

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

so the expression becomes

solve

add 6 to both sides

Simplify

also solving

add 6 to both sides

Simplify

Therefore, the solutions to the quadratic equation will be:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

it would be:

c.parallelogram.