Find the zeros of y = x2 - 6x - 4 by completing the square.

The zeros of function are

Solution:

Given that we have to find the zeros of given function by completing the square

To find the zeros of function, equate to zero

Completing the square means that we will force a perfect square trinomial on the left side of the equation, then solve for   x

Add  4  to both sides of the equation

Divide the coefficient of the x term by 2, then square the result. Add it to both sides of the equation

Here coefficient of x term is -6

Add it to both sides of the equation

We now have a perfect square trinomial in the form:

Here in , a = x and b = 3

Take the square root of both sides

Add  3 to both sides of the equation

Therefore,

Thus the zeros of function are

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.