It is given that 2+i is a root of the quadratic equation x^2+ax+b=0find the values of the real numbers a and b.

a = - 4 and b = 5

complex roots occur in conjugate pairs, hence

if 2 + i is a root then 2 - i is also a root and

(x - (2 + i) )(x - (2 - i) ) are the factors

= (x - 2 - i)(x - 2 + i)

= (x - 2)² - i² ( i² = - 1 )

= x² - 4x + 4 + 1

= x² - 4x + 5

compare the coefficients of x² + ax + b   with x² - 4x + 5

⇒ a = - 4 and b = 5

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58